First episode: February 12, 1953
Last episode: May 14, 1953
Seen Thursday mornings 11:15-11:30 on CBS  
A short-lived fifteen-minute variety show featuring Betty Brewer and the Milton DeLugg Trio, and sponsored by Mogen David wine.

Original daytime variety shows were not unusual in the fifties, but this one was a little strange.  Its time slot was normally taken up by the half-hour game show There's One in Every Family.  On Thursdays only, Family was shortened to fifteen minutes in order to make room for Bill's program.  DeLugg, a ubiquitous musical presence in the 1950s, would years later be the bandleader on The Gong Show

In the two episodes of The Bill Cullen Show that survive, Brewer inexplicably sings to inanimate objects. In one, she's singing to a stuffed squirrel that appears to be the show's mascot, at least for that episode.  In the other, she sings while holding a feather duster for no apparent reason. 
The program was a barely scripted affair, with Bill sitting at a desk making idle chatter, bantering with his sidekicks or plugging the sponsor's product.  Within each quarter-hour program, DeLugg and his trio played a short instrumental number, and Brewer performed a vocal selection.  There were no guest stars.
On a 2009 internet radio show, nonagenarian Milton DeLugg told us that celebrated jazz pianist Dick Hyman played organ for the Milton DeLugg Trio on The Bill Cullen Show

Amazingly, two episodes of this incredibly obscure series survive.  They are from February 19 (the second show) and April 2.  Bill's birthday was celebrated on the February 19 program (it actually was a day earlier).  Having seen the series, we're not surprised it only lasted thirteen weeks.

Screen grabs and more specifics at Adam Nedeff's Bill Cullen's World.