Usually NHA issues the birth certificate, but if you are not under your husband sponsorhip then you have to get it from CID (note... this is not place from where you had the finger printing) It is located near industrial area, after the industrial r/a.

Just bring the receipt that you got from NHA, copy of your marriage certificate stamped by your embassy, copy of your and your husband's id..and if you can bring all the orignal, it's better...just bring all documents that you think will be important...passport, healthcard, etc. As you know, procedures here in qatar always change...

Don't worry...as long as you have all the documents, they will issue your baby's birth certificate without any problem.