This is a tv show I watched with my daughter around 1995-97. The
setting was a Louisiana bayou, and it was quite entertaining. One
character was named "Chicken Mama" (married to a fox?) and there was
also a talking egg (with a name like Aristotle or Einstein) and a
gator and a bookworm. The show was on cable - probably The Learning
Channel.
Can you please find the name of this show for me?
I thought it was "Chicken Bayou" or "Chicken Gumbo" or something like
that, but I have had NO luck tracking it down!
Thanks!

Hello.

Your show was called "Chicken Minute." 

As you describe, the series was set in the Bayou and included a
chicken, a fox and a number of other animal puppets. The show billed
itself as a "Live-Action Romp in the Swamp." The chicken and the fox
are featured on the cover of a "Chicken Minute" video. The image is
hosted by half.com:
http://art.half.ebay.com/prod/1381821.jpeg

Half.com currently lists a number of videos from the show:

Chicken Minute - Coop De Ville
The animals around the bayou gather for some musical good times. For
ages 2-7.
http://half.ebay.com/cat/buy/prod.cgi?cpid=2001757

Chicken Minute - Lovesick
"Cupid visits the swamp and one of the monsters falls head over heels
in love."
http://half.ebay.com/cat/buy/prod.cgi?cpid=2018231

Chicken Minute - The Dam
"The Chicken Minute gang take to high ground as the water rises in
their swamp."
http://half.ebay.com/cat/buy/prod.cgi?cpid=2018230

Chicken Minute - The Watch Thief 
"Another episode of the popular educational children's program. In
this episode, Chicken Minute asks 'Where did all the clocks go?'"
http://half.ebay.com/cat/buy/prod.cgi?cpid=2018228

Chicken Minute - The Singing Contest 
"The animals from the Chicken Minute Show compete in a singing
contest"
http://half.ebay.com/cat/buy/prod.cgi?cpid=2001756

According to the web page of an individual who designed the puppets,
"Chicken Minute" consisted of twenty-six 15-minute episodes. The show
was produced by Desclez Productions.
Source: atelierdesgriffons.com
http://www.atelierdesgriffons.com/htm/biographieEn.htm

search strategy: children's videos, chicken

I hope this helps.

Thank you! I was stunned to receive an answer so quickly.
I should have submitted this question two days ago when I first
started obsessing about it - I could have saved myself a lot of
frustration. I'll know next time!