BallaFletcher (fletcher's farm) is in Braddan - Knnen (placenames) quotes a Thomas Fletcher holding it in 1640
There was a Ballafletcher cup - try my search engine
http://www.ee.surrey.ac.uk/Contrib/manx/search.htm
list of Deemsters on http://www.ee.surrey.ac.uk/Contrib/manx/people/law/deemstrs.htm
where I suspect the same Thomas Fletcher (or son thereof) appears as Deemster in 1663 - as this is around the time of the restoration I suspect there will be quite a bit more about him available but I havnt time to go searching