Sylvia, I've just found some notes I made a few years ago:
1861 Robert Moore 33yrs, farmer, Ballafarrant
1851 Robert Moore 25yrs Castletown Rd Malew
His wife Catherine & children also recorded.
In the 1871 census Robert's birthplace is down as Arbory. Catherine's as Rushen.
You could try Robert Moore 15 yrs old in 1841 census, son of John Moore & Ann Preston, Ballindry, Arbory. His bapt in Arbory is 27 Nov 1825
Someone else is enquiring about Henry Moore of the same family.
There is a marriage that may fit, Robert Moore to Catherine Sharpe 25 Jan 1845 Arbory. It could be worth checking.