It might help to refine the type of comedy that your company plans on producing. The better focused genre of comedy you will be performing the easier it would be to develop a corresponding name. For example Farsical and SlapStical could both be names of comedy company but both refer to different types of comedy.
How about Marx Productions, or Humor Alley Productions, Funny Core, Snicker Snee, Funny Bone central, Hope you like one of them.
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