1861 England census (http://search.ancestry.com/cgi-bin/sse.dll?db=uki1861&indiv=try&h=9061760) shows that Annie Doyle, born 1850, was the daughter of Patrick and Margaret.
There was also a sister named Maragaret, born abt. 1853.Other children were John-1847, Thomas-1860 and Mark-1856.
1851 england census (http://search.ancestry.com/cgi-bin/sse.dll?db=uki1851&indiv=try&h=17368484) supports the birth and parentage of Annie and John.It also shows that John Doyle was born in Bolton, Lancashire, England.
Patrick, Margaret's husband must have died between 1861 and 1871.