I live in Hinesburg and I believe your Benjamin BABCOCK was listed in the 1820, 1830, and 1840 Federal censuses as living in Hinesburg with his family. Looks like 1850 he was in Charlotte. Just Aurelia shows up in the 1870 census in Richmond and she appear to die in 1879 in Hinesburg according to VT Vital Records. I was wondering if you knew whether either she or Benjamin filed for a pension benefit since he served in the War of 1812?
I did search the 1758-1906 Hinesburg Town Register but did not find any BABCOCK family members' births, marriages or deaths (not even Aurelia's). Regards, Ed