@AnonymousPerson123,
AnonymousPerson123 wrote:
... Should I put my name?
Only if you want to be one of the people the state goes after when it's time to get support for that kid. No, you are not the father (I'm not even so sure you could be put on the birth certificate in the first place, BTW).
You are both 16. The chances that you will stay together are vanishingly small. Instead, you are creating a presumption of parental connection.
And you haven't even told your parents yet.
I urge you to read this rather well-written article on a same-sex partner's name going on a birth certificate
http://itsconceivablenow.com/2012/02/02/states-same-sex-couple-listed-childs-birth-certificate/
And then really think about what this could mean to your life in 20 or 30 years.