I found the 1881 census showing Robert & Hannah living with the family in Cazneau Street
and Thomas Finch born Wigan ( father in law)
1881c
Robert JONES 48
occ Cotton PorterHannah 41
Edward 17
Robert 9
JOSEPH 6
Jane 4
Thomas FINCH 75 Wigan
occ HawkerAll others born Liverpool
Have you looked for TF on earlier censuses to see if that leads anywhere?
There is this baptism record but don't know if it relates to the same Thomas
Thomas Finch fourth son of Thomas Finch of King Street Taylor &
Mary his wife dau of Stephen & Jinney Gaskell born 10 Sep 1807
Bapt. 3 Nov 1807 Wigan, All Saints, Lancashire
This appears to be Hannah Jones nee Miller
1871c RG10; Piece: 3791; Folio: 71; Page: 43
Robert
JONES 40 Liverpool
occ Rope MakerHannah 31
Thomas 9
Edward 7
John H 1
John
MILLER brother 20
Hannah’s father Thomas Miller born 1816 Layton Lancashire
occ Boatman 1861c RG 9; Piece: 2668; Folio: 58; Page: 20
Hannah MILLAR 21, brother John 10 with their parents Thomas & Jane