Eve, I do not know how common the name Abraham was in that time period in general, but in addition to the original Abraham I previousley mentioned, there were two more within my Deacon ancestry around that time...Abraham Deacon b. 1835 and Abraham Deacon b. 1863, not father and son, but both descendents of the Thomas and Abraham brothers previousley mentioned. After that the name was not used within my lineage.
I have noticed that biblical names were very much in evidence, including the name Samuel, also one Joab. These names were not used among Catholics, just Church of Ireland members, kind of leading credence to the lore that these Deacons were Cromwellian settlers, but I do not know that for sure.