Looking at the 1841 Census for Thorney with it showing
a Jane Baines aged 40 also in the Workhouse maybe Matthew
had deserted her and the children.
Or he could not find work and put them there until his
circumstances changed. In the mean-time it seems that
Jane died.

Catherine came from Devises, Wilts on the 1851 so maybe
Matthew moved away for a while.
Sandy