Yup, we only have brooks in New England. I first realized this when a TV show supposedly set in Boston, placed a murder in a "creekbed." It instantly placed the author out of New England and firmly from the far west. We'd say "in the bed of Such-and-such Brook." We have canals, of course, but they're all man-made.

The line between brooks and kills is traceable to the Dutch in New York. Cross the Hudson going east to west, and the placenames and architecture of old houses makes it obvious.