I am researching this line too. I have that Joseph Adams 1705-1801 was the father of Capt. James Adams married to Isabelle Weldon. I found Joseph's will of 1801 when he died. He mentions grandchildren last name Weldon. Your information sounds interesting. If you find more information, please send it to me. Vickyvj.email@example.com
I descend from Nancy Adams and Johnathan Hamilton. I heard her father was John Adams son of Captain James Hamilton. Nancy and Johnathan lived in Meadville, Pa. Not sure if John was her father though. 3 brothers moved to Venango Couunty, Pa James Adams, Weldon Adams, and John Adams sons of Capt. James Adams. I read this in an old history book online.