There are quite a few Moran in the Co. Clare telephone book. the most appear to be in Ennis, some in Kilrush and have that in common with the name Rice. Addresses are sufficient for mail delivery. Also there are Gormon's in Kilrush (21) and Ennis (12)
No Villette as a person's name but as a place name in Waterford there is a Villette - The Cove and in Cork a Villette - Iona Park.
There are few records as early as you are looking for in Ireland. Co. Clare may have records that early but they are 1 of 4 who haven't a membership with www.rootsireland.ie
which provide online
parish records. Co. Offaly/Kings are members.
There were Huegenot's in Ireland and you can find records about them and the counties where
they went to. www.culturenorthernireland.org
It is possible a French (Norman's) name could be from the Norman's who invaded England in 1066 and were later to go to Ireland with Cromwell and others in various invasions. There were wars between the French and English, so unlikely they would be going to France in this time period.
A possible Villette record I found in my sources was a Marriage License, Diocese of Dublin
Charles Lewis DeVillette 1773, to Julia Blosset.
Also in a Dublin Directory 1843, John Villett, stone.........
I don't think that is much that will help you find the information you want as there are hugh gaps of time.
and without Parish records, family connections are hard to find.www.igp-web.com
United Kingdom+Ireland+ County