Cleaning a pad with a felt bottom and a wool top

Someone just gave me a Reinsman pad that has a wool felt bottom and an attached wool blanket top. The top is black, tan, and cream, but it’s lost its crisp look, especially the cream. I’d like to clean it up for local shows. Any suggestions for the best way to do that?

(I’ve cleaned several wool felt pads/liners, that’s not my issue. This is the first pad I’ve owned with the two “halves” attached.)

Thanks in advance!