Hello again Matthew
I've found Elizabeth Carey's father on the 1901:
644/10 ED 4/10 page 16
51 Piccadilly Street, Anderston
Patrick, 60, mar, foundry lab, b. Ireland
Hannah, d, s, 26, b. Ireland
Francis, s, s, 22, machine borer, b. Glasgow
Edward, grandson, 3, b. Glasgow
hannah granddaughter, 3, b. Glasgow
No sign of Hannah senior in Scotland either - but Patrick is down as married not a widower. I'm now thinking that she might be in the same place as Lizzie - maybe Ireland

Gadget