hello Claire
I don't know if you have already solved this puzzle, but there is evidence in the Lincoln, Rutland and Stamford Mercury newspaper from 1846 that Frances Hosthead applied for maintainence for her illegitimate child (presumably Dorothy) on Fred Robinson, labourer, at Gainsbrough Petty Sessions. You can find transcripts of the entries on the Genuki site. As Frances is an ancestor of mine, we are related!
Sammy