Hello, Wendy. Are the birthplaces of Catherine and Patrick taken from a census? Where is Maypoley? Placename search on S. Wilson's website couldn't find a place like it in Mayo. https://www.s.wilson.info
How did you establish a birth year of 1823 for Catherine's father, James? As you haven't mentioned Catherine's mother's name, I assume you don't know it. A few priests included mothers' names in marriage registers but most didn't.
Have you tried following each Irish-born member of their families on censuses to see what they put as birthplace? Did any of them have obituaries in local newspapers?
If you need other opinions on deciphering a placename try RootsChat forum. It has a section for deciphering handwriting. If you post a deciphering request there, include Mayo in the post title and that will attract attention of anyone with knowledge of the county as well as handwriting experts.