On to Annie Makinson
In the 1851 census this is the only Ann Makinson who was born in Liverpool who was unmarried (that I could find).
HO107/2182 folio258 page 39
1851 Liverpool, 58 Lonsdale Street
Charles Makinson Head Mar 38 Joiner b. Lancashire Childwall
Elizabeth Makinson Wife mar 40 born Liverpool
ANN MAKINSON Daur U 16 born Liverpool
John Makinson Son 12 Scholar born Toxteth Park
Charles Makinson Son Scholar born Toxteth Park
Elizabeth Jane Makinson Daur 8 Scholar born Toxteth Park
Emma Makinson Daur 6 Scholar born Toxteth Park
Richard Makinson Son 4 born Liverpool
Mary Makinson Daur 11 mos born Liverpool
Ellen Barton Niece U 16 Dess maker’s apprentice born Lancashire Bury.
Going backwards, in 1841 we find the same family
HO107/567 folio 41 page 5
Borough of Liverpool, Township of Toxteth Park, Crown Street
Charles Makinson 28 Joiner born in Lancashire
Elizabeth Makins 30 Dressmaker born in Lancashire
ANNE MAKINSON 6 born in Lancashire
James Makinson 4 born in Lancashire
John Makinson 2 born in Lancashire
Interestingly the Makinsons are living next door to Margret [sic] Jones 60 Charwoman who was born in Lancashire.
I checked in the 1861 census and couldn’t find Ann Makinson born in Liverpool, so by that time she’s either got married or died. I’m much more confident that this is your Annie, than I am about the various Abraham Jones candidates.
Just to check Ann Henderson here are the candidates
1851 HO107/2195 folio 103 page 2
Township of Eccleston , town of St Helens, 6 Garden Street
John Henderson Head Mar 46 Crown Glass Blower born in Newcastle on Tyne Northumberland
Mary Henderson Wife mar 45 at home born in Warrington Lancashire
ANN HENDERSON Daur U 15 at home born in West Derby, Lancashire
John Henderson Son U 12 ap Crown Glass House born in West Derby, Lancashire
Mary Henderson Daur U 10 at home born in West Derby Lancashire
Agnes Henderson Daur 8 scholar born in West Derby Lancashire
Thomas Henry Henderson Son 5 scholar born in West Derby, Lancashire
William Henderson Son 3 scholar born in Yorkshire Hull
Also in 1851 there is
HO107/1629 folio 271 page 5
Parish of St John the Baptist, Town of Margate, Gordon House (which seems to be some sort of school)
ANN HENDERSON Pupil 6 born in Liverpool
Also in 1851 there is
Town of Liverpool, 15 Shaw Brow (?)
Thomas P Cropper Head Mar 26 Coach Body Maker born in Liverpool Lancashire
Various other people including…
ANN HENDERSON Visitor U 10 Scholar born in Liverpool, Lancashire
Also in 1851 we have
HO107/2025 folio 119 page 8
Parish of West Bromwich Spon Lane Wakmans Building (?)
Robert Henderson Head Mar 37 Glass Maker born in Sunderland, Durham
Ellen Henderson Wife Mar 35 born in Newcastle Northumberland
John Henderson Son 11 Scholar born in Liverpool, Lancashire
ANN HENDERSON Daur 8 Scholar born in Liverpool, Lancashire
David Henderson Son 4 Scholar born in Liverpool Lancashire
Ellen Henderson Daur 3 born in St Helens Lancashire
Edward Henderson Son 1 born in West Bromwich, Staffordshire
That’s all the Ann Hendersons that I can see that were born within about 5 years of 1835 in Liverpool.
Hope this helps. Other people are welcome to check and expand on what I’ve done!