Karen, I think Roger is onto something. You can see more about the townland of Cloondinnaire (as it is now anglicized), located not far west of Claremorris town, at this link:
https://www.townlands.ie/mayo/clanmorris/tagheen/cloghermore/cloondinna…
At that site, there are links to further sites with info about the township, and at the link for Griffith's Valuation you can see that a William Murphy was listed in that townland near the same time as the record you have:
https://www.askaboutireland.ie/griffith-valuation/index.xml?action=doNa…
The townland name is Clúain Dinnéir in Irish, and was anglicized in a number of ways over the years, as you can see at this link:
https://www.logainm.ie/en/36166
One of them was Clonlenroe, which is not far off of Cloonleonard. That was admittedly in the 1700's, but it illustrates how much difficulty the English authorities had over the years in hearing Irish place names (and given names) correctly, and in coming up with a phonetic equivalent in their own way of spelling things (at a time when English spelling was itself still in flux).