It is totally possible Richard's mother went back home for the birth. I saw the map you sent, I think these locations could be ok. I have sent an email to the Administrator at the Diocese of Limerick to enquire after the original baptism record. Unfortunately on the one I downloaded (from the site you mentioned) it does not record Richard's fathers occupation.
I feel this is the right person because of year of birth, place of birth and the father's name is spot on the mother's maiden name is correct too. The only wee niggle I have is her christian name which is recorded as Deborah, but I have seen it listed as Agnes and also Bridget, so it might not mean anything.
I want to thank you so much for all of this guidance and help, the time and effort you have put into on my query is truly amazing. Thank you just doesn't seem enough