Last name looks more like Haye or Hoye on the census. No records of a Jane Haye or Jane Hoye exist in Maine for the time period, however.
Sources
1880 Census: "United States Census, 1880" citing Volume: 1; Affiliate Name: The U.S. National Archives and Records Administration (NARA); Affiliate Publication Number: T9; Affiliate Line Number: 00019; Digital film/folder number: 005160742; FHL microfilm: 1254481; Image number: 133; Sheet number: 65; Sheet letter: A; Packet letter: A; Indexing batch: C56246-2 FamilySearch Record: MF3P-SLT (accessed 31 December 2023) FamilySearch Image: 33SQ-GYBM-SS8D Jane Faye (30), single other, Servant, in household of H. W. Thur (46) in Augusta, Kennebec, Maine, United States. Born in Maine, United States.
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