Google searches can turn up some strange things. It appears that the horse "Kasparov" is still in the running, at least from this race report. (Scroll down to the 4:31pm race, horse #8.)
A few years ago there was a Karpov and and a Kasparov on the circuit. There have been quite a few racehorses named for chess players or with other chess-themed names. Anyone recall where such a list appeared? It's in this pile of books behind me somewhere...