During Hank's stay in Chicago, I was living in Madison, WI. My friends John Litweiler and Larry Kart kept me abreast of performances I should attend. I managed to hear Mobley twice during this time. One time was with the "working band" mentioned, with Muhal, Rufus, Wilbur and Frank Gordon. If memory does not fail, this was a gig in a church basement on the South Side. The other time was one of Joe Segal's extravaganzas - Jug, Von, Hank and (odd man out) Hank Crawford.
Maybe Larry will chime in with more info on those times.
Concerning the unissued date(s) Hank mentioned: One is Slice of the Top and I always surmised the themes on Thinking of Home incorporated the film music.
I'll forward this thread to Litweiler and see if he chooses to shed any light.