Julie, could this be Jane with mother Jane King/Slater in 1841 and 1851?
Jennie Slater 29 Seamstress
Jennie Slater 7
William Slater 4
Margaret Slater 13 b. Scotland
Maria Slater 14
Address: Gauze St, Paisley Low
Wondered whether the Margaret and Maria above were the same that Keith mentioned previously?
And for 1851:
Jane Slater 36, widow, Worker In Thread Mill b. Paisley
Jeanie Slater 16 Worker In Thread Mill b. Paisley
Margt Slater 11 b. Paisley
Elizth Slater 5 b. Paisley
Jeanie Slater 8, niece b. Port Glasgow
Address: 15 Back Row, Abbey Paisley
Your Jane had left for Australia hadn't she by mid 1850s. I wondered whether this was the Elizabeth showing above as daughter of Jane Snr.
Elizabeth Slater, boarder, sewer, 25 b. Paisley, living at 14 Bridge St, Paisley.
Haven't been able to find any of the other births above to even try to confirm the surname of Jane Snr, from both 1841 and 1851.
Can't see anything on deaths post 1855 and the start of official registration in Scotland for mother Jane King which is a pity. If we have the right census entries for 1841 and 1851, likely she died between 1851-54. Might explain why your gg grandmother then felt able to leave Scotland to start a new life after her mother's death?
But, hey, one step at a time!
Monica