I have been with my girlfriend for 4 years and we had a baby girl, my girl friend wants to put my family name first the her family name after on the birth Certi.
( baby's name- maiden name- man's family name-woman's family name) is this right? I know it's silly questions but need advise that I don't regret in the future.

I know that woman's family name goes first and then man's family name last, feel strange and not right! And she do not want to carry my name if we get married!

She can put any name on the birth certificate that she wants. Order doesn't matter.

Sure! But what is more common? Woman's family name first and then man's family name! I know it's silly to ask for more answers sorry ;-) cause I've heard if woman's name goes last then everybody would calling her with this last name! You see what I mean !