Andover was chartered on October 13, 1761. The town was nearly twice its present size when it was granted. However, a ridge of highlands (including the aptly named Terrible Mountain) made it virtually impossible to get from one side of the town to the other, so the western portion was made into the separate town of Weston in 1799. 
The Local History of Andover, Vermont, by Hiland H. Gutterson (1922) - Read this book online.
FamilySearch Historical Records Collection has Vermont birth, death, and marriage records online.
The probate district for Andover is Windsor.
Windsor Probate Court
PO Box 402 (Cota Fuel Bdg)
N. Springfield, VT 05150
Phone: (802) 886-2284
The following is a list of cemeteries in present-day Andover. For location of cemeteries, see Cemeteries of Vermont, Windsor County, website at this link.
- East Hill Cemetery - inscriptions at Find A Grave site.
- Heald Cemetery - inscriptions at Find A Grave site.
- Middletown Cemetery - inscriptions at Find A Grave site.
- Simonsville Cemetery - inscriptions at Find A Grave site.
Town Clerk Vital and Town Records, 1769-1997, can be found on FamilySerach (browse only images).
The Family History Library has microfilm of original records from the Andover Town Clerk's Office. These include Land records, 1780-1904; index to land records, 1780-1946.
Andover Town Clerk
953 Weston-Andover Rd.
Chester, VT 05143
Libraries and Historical Societies
- About Andover, VT - http://www.virtualvermont.com/towns/andover.html#about
- History of the Town of Andover, VT, http://www.rootsweb.ancestry.com/~vermont/WindsorAndover.html