Question not pregnancy related

I hope I don't confuse anyone but the first time I got an I.D I was a junior in high school i'm now 22 and received a letter from the DMV telling me it's time to renew it. I have a question though, I got married last year and haven't changed my last name my husband said he would take me to the social security office to change it but we haven't had the time to, I want to know if when I go renew my I.D if I ask to change my last name will they do it ? Or do i need a social security card that shows that the last name is changed ? My baby is due on Tuesday and our appointment is on Monday