The Annie Quirk aged 16 in 1891 is listed as being the dau of Catherine Quirk (55, Widow) and has a sister Emma aged 14. She was a General Servant. Her mother was a 'Chamberman' (Chambermaid?). All three are down as having been born in Patrick.
Ann Quirk is shown as being the dau of William Quirk (57) and Martha Quirk (39). There are several children. All born Patrick....
So this doesn't seem to be the answer!