The Dolphins also had a kicker back in the 80s named Igwebuike. He was from Nigeria, I think. They may have had both a black punter AND a black kicker at the same time.
Says here kicker Donald Igwebuike was a Buccaneer: http://www.nfl.com/player/donaldigwebuike/2517146/profile
Not knowing anything at all about the player except that he was a black punter from Nigeria, I'd be willing to bet just about everything I own that he was a soccer player in Nigeria. The funny thing IMO is that in his native country, they likely called it "football". I'd never thought about or noticed the racial disparity of punters (alas, a different thing entirely in Britain) but it can easily be explained because a lot of them probably used to play soccer. Not much of a "black" sport in this country. Not so overseas.