Did B&A ever do any Christmas shows? I know they did several for radio, but I wasn't sure about TV.

According to the book "Say Goodnight Gracie", they did Christmas shows for the first two seasons and for the 6th, 7th and 8th seasons. I have the 7th and 8th season shows, they are both excellent episodes: the seventh is called "Christmas in Jail": George, in jail, tells a story through flashbacks about how he came to be incarcerated. The eighth season Christmas show is called "How to Wrap a Mink" and is about Gracie and Blanche expecting mink coats from George and Harry for Christmas presents.

There is a Christmas episode where Gracie's friend visits from San Francisco and she has three little girls.

...the 1951 live edition, which is available to most collectors.

I have a VHS copy of that one. I bought it years ago from some mail order company.

George and Gracie actually did several Christmas episodes for television. They are:
Christmas with George and Gracie
Christmas; Mamie Kelly visits
Christmas Episode
Christmas Show
Company for Christmas
Christmas in Jail
How to wrap a Mink

I also have two christmas episodes from their radio show. The first one is when Gracie falls asleep on christmas eve and dreams she goes to the North Pole and meets Santa Claus. His voice was done by Arthur Q. Bryant, who voiced Elmer Fudd in Looney Tunes cartoons.
The other one is when George and Gracie are in line at the post office to mail a Christmas present. George is holding the big, HEAVY package and they keep having to go from one line to another. Then, when they get home, he finds that it was a box of rocks that Gracie was mailing to a woman who lives across the street!!:lol: :lol: :lol: :lol: