Hi Rhdill
Tuam records have the births of the following children to Owen Higgins & Margaret Moran
Mary 7th Feb 1828 / Michael 28th March 1830 / John 30th Aug. 1835
Patrick born 2nd Feb. 1833 to Owen Higgins Higgins & Mary Moran
As Mary Moran 1814 was too young to have had a daughter Mary in Feb. 1828, perhaps she was a sister of Margaret Moran.
Do any of above records match your research?
Regards