unemployed husband paying child surport

My husband is unemployed with no income. I am working and paying 100% bills & morgage. He pay $800 child surport each month from our joinly account which 100% money is mine. This month I did not mail his ex check and she is keep calling him everyday. I dont like to pay her but my husband says that is his daughter and he doesnt want to go to the jail (for not paying her), I agree but that is not my daughter, why should I have to surport his ex? I am very uncomfortabe with that. Am I selffish? I am serously thinking about divorce now. Am I wrong?

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