My husband and I were married on the beach on Sullivan's Island, SC, on February 28, 2004, by the lighthouse there. (Click here to view our wedding album) We named our puppy after our most special place, Sullivan's Island (and the Sullivan's Island Lighthouse!)
His whole AKC registered name is "General Montgomery Sullivan" - My husband is a huge WWII buff and his favorite WWII historical figure, I guess you could say, is the british General Montgomery. It was a fight with my husband not to name our pup "Monty". (But, Sully it is! And we really think it suits his little face!
The local high school where we live now is Sullivan High School.......so when people ask what my dog's name is, I have to say "Sully, after the island in SC, not the high school in TN.)
However: commonly, we end up calling Sully: (affectionately) "The Sullifier", "Small Dog", "Waggie the Tail", "The Cuteness", and "Our Boy".