We watched a juvie red-tail hawk chase a squirrel around the bole of an oak tree one summer, chico.
It was quite entertaining, although I'm sure the hawk didn't think so. The squirrel was having no trouble staying just out of reach, pausing once in a while to laugh at the silly youngster!
Winston, I'm thinking 14+'s hawk is too tall and the center of gravity is too high to be a Cooper's. I'm thinking it could be a Sharp-shinned. They look very similar but the sharp-shinned is smaller with a flat end of the tail (the Cooper's is rounded). Whaddya think, 14+? Was it smaller or about the same size as a crow?
Both types of hawks are bird-specialists, so either of them will get a rise (so to speak) out of any smaller birds in your yard when the hawk happens to be there.