I'm wondering if the Lydia Aldrich mentioned in the portion of your posting I copied below was the wife of Nehemiah Thayer, born about 1785.They are said to have married in January 1810 in Carroll Chautauqua, NY.Nehemiah's parents were Nehemiah Thayer of Mendon, Worchester, MA and Hannah Peters of Richmond, Cheshire, New Hampshire. They migrated to Putney, Windham, Vermont.
Portion of your posting:
ALDRICH, William 3 Apr 1752 - ca. 1798 Cumberland, Providence Co., RI -
F - Caleb Aldrich - 1726 M - Mary ARNOLD - 1730 S - Prusha PAINE - mar. 18 Apr 1776 C - 1 - Welcome Aldrich - 1782 2 - William Aldrich - 1784 3 - Catherine Aldrich - 1786 4 - Lydia Aldrich - 5 - Joel Aldrich - 1790
(1) The George Aldrich Genealogy, by Alvin James Aldrich, The Anundsen Publishing Co., Decorah, IA, 1971, Vol. I, pp. 64, 108.