Yes I think James and Joseph on that 1851 census are her children and maybe one other it's difficult to read the names. I don't think they ever married or if they did she didn't use the name Price.

This is the last census I found them on.

http://search.ancestry.co.uk/cgi-bin...26pgPLz0q3dpid

I think this is probably John's death.
http://search.ancestry.co.uk/cgi-bin...905&recoff=1+2