The OP doesn't say what the information about Margaret Anna is based on, so this all must remain just a possibility at this point.
Using the % wildcard in the AncestryIreland website search index and the GRONI online search index, the Margaret Anna Falloon mentioned thus far by other posters was born on 28 June 1881 to parents Hugh Falloon and Ellen O'Neill, who got married in Belfast RC Church on 27 December 1876, Hugh's father was James Falloon and Ellen's father was Daniel O'Neill.