Hi sorry can,t help with records, but the Mc Namee name at this time had many spellings
Mc Anena,Mc Anenay,Mc Anmee Mc Mee and Conway which are some I have come across locally and there are more! It was a family name who held sway in the parish of Ardstraw Tyrone ,and is still common there, some think its from the surname Farran? and is linked to the Saint Eugene, yours Shane