The frequency list for the Cleveland feed isn't totally up-to-date, but it's safe to assume that the pilot was talking to ops of some sort (dispatch or whatever). I have a few ops frequencies programmed in on the feed. They tend to be shared between multiple airlines and multiple airports -- since we couldn't hear the ground person's responses, I think it's a good bet that they were talking to some airport other than CLE.
Good catch, interesting discussion.