Possible first daughter:
CARRUTHERS, JANE RIGG
GRO Reference: 1852 M Quarter in LIVERPOOL Volume 08B Page 140
In the 1871 census, widow Hannah, Jane, Hannah Jr, plus an Ann Carruthers born Wales, (edit, born Manchester) so not sure if this fits in any way:
CARRUTHERS, HANNAH WRIGG
GRO Reference: 1856 M Quarter in WREXHAM Volume 11B Page 295