Hello, I think your family is John Moyles and Catherine McHale from Ballymacredmond, Mount Falcon, Mayo, in Ballynahaglish civil parish located in Backs/Knockmore Roman Catholic Parish. Margaret seems to have a baptism record with the name Bridget McHale as mother and her birth record lists her mother as Catherine McHale but I believe they are the same infant. Margaret was born on July 6, 1888, however, her birth wasn't registered with the county until July 9, 1889, (which was fairly typical, late.)
John and Catherine had at least seven children, in order; Michael Moyles (1879-), Anthony Moyles (1881-), James Moyles (1882-), Mary Moyles (1884-), Patrick "Pat" Moyles (1886-), Margaret Moyles (1888-), Thomas Moyles (1891-) and John Moyles (1893-). John was a farmer.