I work at a hospital and do all the birth certificates.
In California, all the births are actually registered through the Department of Public Health, Vital Statistics.
Birth certificates don't come in the mail. You have to go and show your own photo I.D. and purchase a certified copy. In my county, it's $15.
Many parents don't understand that the little complimentary birth certificates the hospital gives you aren't legal documents.
Many parents also think that filling out the birth certificate "worksheet" is all they need to do.
When we have babies born and discharged over the weekend, I receive their medical charts and contact the parents so they can come back in, review and sign the birth certificate. Then, I forward them to the Dept. of Public Health.
I hate to say it, but you'd be surprised how many parents can't be contacted, never call or even inquire. It makes it really difficult because the birth has to be registered, with or without a name. We have to submit birth certificates within 10 days. That can often be stretched a little bit if the parents are in touch with us and are really having a hard time actually deciding on the name or something, but births are supposed to be registered in a pretty timely fashion.
Also, in California, parents have the option of applying for the social security number through the birth certificate process. 99% of parents do it that way. If they do, the social security card automatically comes in the mail. However, again, the birth certificates never do.
I would contact the medical records department of the hospital your baby was born in so they can research it for you. Ask them who to call in your county. I work very closely with the registrar and there are ways to expedite things as far as registering the birth. You can also get a discharge summary from your baby's hospital records as secondary proof the child was born in such and such hospital as far as getting the social.
Start with your hospital. Understand that you will need to go in person to get the birth certificate. If you've been waiting for it to show up, it doesn't work that way.
When all goes as it should, birth certificates are available within 14 days of the birth and the social security card arrives by mail 3-4 weeks later.
Your baby's birth certificate might be done and you just need to go get it then take it in to social security.
You'll get it worked out.
I wish I was closer. I'd know exactly who to have you call.
Best wishes and let me know how it goes.