Jewish Question: Should Poultry Count as Parve?

I am Jewish, and I am leading a discussion at Shul, but I want your opinion on the following question: Should Poultry count as Parve? I think so, because fish is counted as Parve, the argument being that fish doesn't give milk to their young; yet neither do Poultry. I would like your opinion, and please, gentiles (non-Jews), no Anti-Semitic Comments, I ask of you in advance. Thank you. Whoever gives me the best reasoning will get best answer :D