What the sentence is saying is simply that Fuzzy flat out rejected the men who wanted to buy the rag doll from him. He treated them as if their proposal was completely ridiculous.
Sarah Bernhardt was a famous actress who lived from 1844 to 1923. She presumably made a great deal of money. If someone went to her manager and asked him if she would come and perform before their little club (for only a little money) instead of performing in a big theater (for a lot of money) he would laugh at them.
("Tacky" means having very poor taste and liking cheap things. So the Tackytown... means a club in an uneducated town that pretends to be quite literary.)
So the quote is just trying to give an analogy to tell you how completely Fuzzy rejected the men's proposal.
I hope that helps...
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