While all those who have written about this family, up to and including Peter Bartrum, have conflated
these three family branches into a single line (Bartrum's dating is basically that of the middle line in our chart), the marriages
they mention for these men wholly fail to support their construction of the pedigree. The labels we have used in our chart
for a "Family Name" are ours, and may not agree with such labels applied by earlier historians.
CITED FOR THESE MEN:
1. Heilyn ap Tyfid married Nest (1185) ferch Cadwgan (1150) ap Llywarch (1120) ap Bran
(1090)  This lady is a chronological fit as a wife only for the Heilyn born c. 1180
2. Llywarch ap Heilyn married Morfydd (1265) ferch Tudor (1235) ap Gronwy (1200) ap Ednyfed
Fychan (1165).  This lady fits only with a Llywarch c. 1265. He also married Gwenllian (1220) ferch Madog (1190)
ap Rhiryd Flaidd (1155).  That lady only fits chronologically with the Llywarch born c. 1210
3. Cynwrig ap Llywarch married a daughter (1220) ferch Cynwrig Ddewis Herod as charted above,
and fits only with the Cynwrig born c. 1205.
4. Cynwrig Fychan ap Cynwrig ap Llywarch. Two wives are cited for a man of this name:
(a) Efa (1305) ferch Madog Goch (1270) ap Iorwerth (1235) ap Gwrgunnon (1200) ap Cyfnerth (1170) ap Rhufon (1140) ap Nefydd
Hardd (1105) , a lady who fits only with the Cynwrig Fychan born c. 1300; and (b) Gwenhwyfar (1335) ferch Llewelyn Dew
(1300) ap Y Penwyn (1270) ap Cynwrig (1240) ap Iorwerth (1205) ap Tegwared (1170) ap Iddon (1135) ap Iorwerth (1105) ap Iddon
(1070) ap Ithel (1035) ap Edryd (1005) , descended from Marchudd ap Cynan. She fits only with the Cynwrig Fychan
born c. 1325
5. Hywel ap Cynwrig Fychan is cited as having married "a daughter of the Lord of Rhos". Those sources
who try to further identify the lady  claim she was Marged (1150) ferch Hywel (1120) ap Ithel (1085) ap Rhiryd (1055) ap
Bleddyn (1025) ap Cynfyn, a lady patently too old to have married any known Hywel ap Cynwrig in the Marchweithian family.
 Bartrum did not explain his reasoning, but tentatively  charted her as "Margred ferch Gruffudd Goch ap Dafydd"
from an obscure line descended from Rhys ap Edryd, a brother of Ithel ap Edryd in Item #4 above. Bartrum dated her c.
1370, where she would be a chronological fit for a Hywel born c. 1355. We greatly doubt there was ANY Welsh Lord of
Rhos in the 14th century to match with any of the men named Hywel in our chart. That commote was, by then, a part of
Denbigh and ruled by English barons. The last known Welsh Lords of Rhos were men descended from Llywarch Hwlbrwch, not the
family which Bartrum selected.
6. Tudor ap Hywel married Susanna (1350) ferch Maredudd (1320) ap Madog (1290) ap Ithel (1255)
ap Jonas (1225) ap Hwfa (1190) ap Cadwgan Goch (1160) ap Ithel y Gwion (1125) ap Hwfa (1095) ap Ithel Felyn (1065) ap Llewelyn
Fychan (1035) ap Llewelyn Aurdorchog (1005) , a lady who fits with the Tudor born c. 1335
7. Maredudd ap Tudor married Efa (1400) ferch Ieuan (1365) ap Rhys Wynn (1335) ap Dafydd
Llwyd (1305) ap Y Penwyn (1270) from Item #4 above. She is a chronological fit only with the Maredudd born c. 1390
OF THE FAMILIES IN OUR CHART:
All three of these cousin lines continued the copy-cat naming scheme for another 100 years.
Each of the men named Maredudd ap Tudor in our chart had two sons named Rhys and Robert. For the purposes of this paper,
we shall only follow the family of Rhys ap Maredudd, but the wives cited for Robert ap Maredudd were:
(a) Robert born c. 1400, married Myfanwy (1415) ferch Dafydd (1385) ap Hywel Coetmor (1350)
ap Gruffudd Fychan (1320) ap Gruffudd (1290) ap Dafydd Goch (1260) ap Dafydd (1230) ap Gruffudd (1200) ap Llewelyn (1170)
ap Iorwerth (1135) ap Nefydd Hardd (1105).  He married, secondly, Angharad (1400) ferch Deicws Ddu (1365) ap Madog
Goch (1335) ap Ieuan Goch (1300) ap Dafydd Goch (1270) ap Trahaearn Goch (1235) of Lleyn. 
(b) Robert born c. 1420, married Gwenhwyfar (1420) ferch Ieuan Tegin (1390) ap Madog Goch (1355) ap Madog
(1325) ap Ieuan (1295) ap Llywarch (1265) ap Iddon (1230) ap Iorwerth (1195) ap Iddon (1165) ap Ithel (1135) ap Iorwerth (1105)
ap Iddon (1070) ap Ithel (1035) ap Edryd (1005). 
(c) Robert born c. 1445, married Marged (1455) ferch Gruffudd (1425) ap Rhys (1395) ap Hywel Fychan (1365)
ap Hywel (1335) ap Ieuan (1305) ap Einion (1275) ap Gruffudd (1240) ap Hywel (1210) ap Maredudd (1175) ap Einion (1140) ap
Caradog (1110) ap Gwgan (1075) ap Merwydd Goch (1040) ap Collwyn (1010) ap Tangno (980). 
EXTENSION OF THE FAMILY CHART
Maredudd ap Tudor 1390 Maredudd ap Tudor 1415 Maredudd ap Tudor
Rhys (1) 1425 Rhys (4)
1445 Rhys (7)
Robert (2) 1460 Robert (5)
1480 Robert (8)
Cadwaladr (3) 1495 Cadwaladr (6)
1515 Cadwaladr (9)
This Rhys married Lowri (1400) ferch Hywel (1365) ap Gruffudd Goch (1330) ap Dafydd (1295) ap Madog (1265) ap Meurig (1235)
ap Dafydd (1200) ap Llywarch (1170) ap Ieuan Goch (1135) ap Ieuan (1105) ap Cynddelw (1070) ap Rhys (1040) ap Edryd (1005).
 In addition to the son charted here, he had sons Morys and Hywel and daughters Efa and Marged.
No wife is known for this Robert. His brother, Morys (1435) married Mallt (1450) ferch Gruffudd (1415) ap Hywel y Farf
(1385) ap Llewelyn (1350) ap Hywel (1315) ap Iorwerth Ddu (1280) ap Iorwerth (1245) ap Gruffudd (1215) ap Iorwerth (1185)
ap Maredudd (1150) ap Mathusalem (1120) ap Hwfa (1085) ap Cynddelw (1050). 
No wife is cited for this Cadwaladr, but he is cited as the ancestor of John Pryse (1560) ap Cadwaladr Pryse (1525) ap John
Wyn (1495) of Rhiwlas, son of Cadwaladr.  That John Pryse was High Sheriff of Meirionydd in 1609.
This Rhys married Gwerfyl (1440) ferch Hywel (1405) ap Tudor (1375) ap Madog Ddu (1345) ap Dafydd Goch (1310) ap Iorwerth
(1275) ap Cynwrig (1240) ap Heilyn (1210) ap Trahaearn (1180) ap Iddon (1153) ap Rhys Sais II (1124)  descended
from Tudor Trefor. He had other sons, Morys and Hywel, and 6 daughters: Efa, Gwenhwyfar, Catryn, Elsbeth, Marged and
This Robert married Marged (1460) ap Rhys Llwyd (1425) ap Gruffudd (1390) ap Einion Fychan (1355) ap Iolyn (1325) ap Einion
(1290) ap Griffri (1260) ap Madog (1230) ap Rhys (1200) ap Ednyfed Fychan (1165).  In addition to the son in our
chart, he had sons named Robert Wyn and Thomas Fychan. A Robert ap Rhys of this extended family is said to have served as
chaplain to Cardinal Wolsey c. 1515-1529; whether it was this man or the #8 Robert in our chart, we cannot confirm.
This Cadwaladr married Jane (1500) ferch Maredudd (1465) ap Ieuan (1437) ap Robert (1400) ap Maredudd (1365) ap Ieuan (1335)
ap Maredudd (1305) ap Hywel (1270) ap Dafydd (1235) ap Gruffudd (1200) ap Caradog (1170) ap Thomas (1135) ap Henry (1100).
 This Jane was the sister of John Wynn ap Maredudd, the grandfather of Sir John Wynn of Gwydir.
No wife is known for this Rhys, but he is the man also called Rhys Mawr of Plas Iolyn who was a noted warrior, and who served
in the personal bodyguard of Henry Tudor at the 1485 Battle of Bosworth. When King Richard III charged Henry's standard
and killed its holder, Richard Brandon, Rhys Mawr picked up his leader's banner so it could again be seen. We suspect his
nickname denoted his physical size as a man well over 6' tall. In addition to the son charted here, this Rhys had a
son, Dafydd, and daughters Annes and Cathryn.
No wife is cited for this Robert, and most earlier historians would identify him as the chaplain who served Cardinal Wolsey.
We expressed our doubts in #5 above since this Robert would have been only in his 30's in 1515. Not charted here, his son
and heir was Dr. Elis Pryse, a noted attorney (he earned his LLD degree from Cambridge) who was also known as Doctor Goch.
This Cadwaladr is described by Thomas A. Glenn  as the father of Hywel (1545) who was the father of Robert (1575), the
father of Cadwaladr (1610) whose son, Robert (1640). emigrated to the Welsh Tract in Pennsylvania between 1698 and 1700.
The emigrant's son, Cadwaladr ap Robert, chose "Roberts" as his family surname. We issue another caution here since writer
Glenn is often not a very credible source. Others would say that the ancestry of Robert ap Cadwaladr, an early settler of
Gwynedd in Pennsylvania, is "unknown".