Except for the 1850 census, her name is "Julia A." or "J.A." The 1850 census shows her as "Lydia M." or perhaps "Lydia Ann."
Sources
Find A Grave Memorial #70755602
Vermont Vital Records, 1760-1954, FamilySearch (https://familysearch.org/ark:/61903/1:1:V8MR-9ND : 6 December 2014), James A Templeton and J A Richardson, 25 Oct 1848, Marriage; State Capitol Building, Montpelier; FHL microfilm 27,669.
Vermont Vital Records, 1760-1954, FamilySearch (https://familysearch.org/ark:/61903/1:1:V89Q-TGZ : 5 November 2017), James A Templeton and J A Richardson, 25 Oct 1848, Marriage; State Capitol Building, Montpelier; FHL microfilm 27,707.
1850 U.S. Federal Census, FamilySearch (https://familysearch.org/ark:/61903/1:1:MC2F-X2D : 12 April 2016), Lydia M Templeton in household of James A Templeton, Worcester, Washington, Vermont, United States; citing family 968, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
Is Julia your ancestor? Please don't go away! Login to collaborate or comment, or contact
the profile manager, or ask our community of genealogists a question.