My ggg-grandparents, Samuel and Silence HALL were from Vermont, and though I have no specific data to support it, I believe they may have come from the Windsor or Hartland areas of Windsor County. This is only because they went west to Portage County Ohio, and I have found several other HALL families in that Ohio location, whose origin was in Windsor or Hartland, VT. So it's a leap. Between their locations in VT and OH, they had a child in NY in 1814, but also unknown location in NY. They eventually went further west to Illinois.
This is all I do know:
Samuel was born approx. 1781, died 30 May 1851, age 70, in Knox Co., IL. Silence (wife) was born about 1776, died 27 June 1851, age 75y, 11m., in Knox Co., IL.
I have only found the names of three of the children: Chauncy P. Hall (b. 1808 VT), David E. Hall (b. 1810 where?), Caleb (b. about 1814 NY)
David E. Hall had children named: Harmon, Hiram, Hannah, Mary (Polly), Elizabeth, Eliza, Samuel, Lucy, David, Silence, Catherine, Chauncy, and Nancy. (3 sets of twins).
Your inquiry caught my eye because of the similar movement patterns. Do any of these names appear in your family lines?
Thank you, Margaret