Chip and all,
Here are more clips from the same Steve Allen show...I am thinking they are from around '82 or '83. I'll ask around...it's basically Terry Gibbs' band. He was Steve Allen's music director for many years.
All these things have a "tv" sound quality to them [bad balance, weird mix, many will find the electric bass annoying--but do check out his LINES!!] and the tune choices are all about prime time [ie, rather pedestrian and corny!], but as it is with this kind of thing...there are still lots of good things to hear and enjoy here anyway!
To answer your questions about players, Chip. Here are my guesses...
Chuck Berghoffer on bass
I think it might be John Leys on bass bone.
The other ww's are Gus Bivona [2nd alto and flute] and one of my former mentors, the late Bill Green on bari and flute.
Here is Plas Johnson playing his "signature tune", "Pink Panther". Check out Pete C's typically sassy lead trumpet on the bridge.
http://www.youtube.com/watch?v=jBupII3LH_Q&feature=related
And Sarah Vaughn and the band's in the pocket version of "Just Friends"!!! Nice chart--might be Broadbent's...?
Bone files: check out a fleeting but VERY good example of Charlie's trademark lead bone playing behind Med's alto solo around 1:47! I'd bet big bucks the tiny fall he puts on that F on the "and" of two in the fourth bar was NOT marked!

.
http://www.youtube.com/watch?v=iPBqNDjFTj8&feature=related
LX
PS...
===SOAP BOX ALERT===
Incidentally, the only "scatting" SV does here is on a unison line around :52 [insert sigh of relief here

], but her ability to improvise on the melody and lyrics is so deep. Why is this element so foreign to so many of today's prominent jazz vocalists?!?!