Hi
Not my family but I did a bit of digging.
The Cape Cod Library of Local history and Genealogy Vol1 suggests George was one of three brothers -Robert ,George and Joshua ,sons of Robert Puddington of Tiverton who died 1630.
Robert and George went to the US.
If that is correct Robert's PCC Will of 1631 is at the National Archives of Engaland and Wales at Kew and is available online.He was buried at Tiverton 16.2.1630.
Robert has two houses between Barrington St and Bampton st ,next door to each other in Tiverton.
He is married to his second wife Anne by whom he has 3 younger children Thomas,William and Christian(buried 30.3.1625. The children all get £10 a year and his wife gets taken care of for life.
The elder sons Robert ,George and Joshua get respectively the tenements in London ,the new house in Bampton st now occupied by John Skinner ,Widow Fox and Widow Pearce, and the ancient house next door.
there are 3 daughters by the second wife Katherine ,Alice and Joane.Baptised 15.4.1613 ,18.12.1614 and 14.2.1618. (other daughters Alice 18.11.1605 ,Jone 4.8.1611-5.11.1618 no mothers given).
I'm struggling to find the other children's baptisms.
Widow Anne may have remarried to a Richard Beedle 20.1.1631 .He died 16.2.1638 and she followed 14.4.1639.
Joan the wife of Robert Puddington buried 4.6.1612 was presumably the first wife.
Brother George is an Executor.
So if you are in Tiverton have a look at Bampton St.The house may still be there although I do believe Tiverton had a major fire in the 1600s.
Robert seems to be the son of Ellis Puddington bapt 18.7.1575 .siblings George 26.4.1578 (mentioned in 1631 Will) and Ann 7.7.1583.
Ellis married Jone Staneker at Tiverton 3.5.1574.
The Cape Cope History book suggests George was the grandson of Andrew Puddington bapt 15.3.1530 s of John ,who died 1588 leaving a Devon Will 1588.
Unfortunately most of the Devon Wills were destroyed in a bombing in WWII so I'm not sure if it will have survived.Exeter record office is your best bet.
This may also help give an overview
https://www.wikitree.com/wiki/Puddington-139Hope that helps
Ciderdrinker