Green’s Dictionary of Slang

tally-wife n.

also tally-woman
[live tally under tally n.1 although this seems to predate it; cf. tally-husband n.]

the woman with whom a man cohabits.

[UK]J. Gay Beggar’s Opera III v: To Mrs. Diana Trapes, the Tally-Woman and she will make a good Hand on’t in Shoes and Slippers, to trick out young Ladies, upon their going into Keeping.
[UK]Harris’s List of Covent-Garden Ladies 11: Mrs. Williams, an old crony of the celebrated tally woman Judith Veale.
[UK]G.A. Stevens Adventures of a Speculist I 250: Their cloaths they hire of a tally-woman, with whom their mistress goes snacks.
[UK]Hotten Sl. Dict.
[UK]Manchester Eve. News 31 Aug. 2/4: She answered, ‘It is very hard to be locked up for beating my husband’s tally wife’.
[Aus]Sydney Sl. Dict. (2 edn) 11: ‘[T]ally-wife,’ a woman who cohabits with a man without marriage.
[UK]S.O. Addy Sheffield Gloss. 251: Tally-qwoman, a married man’s mistress or concubine.
[US]Tennessean (Nashville, TN) 14 Dec. 5/3: A tally-wife is a mistress.