I don't know where you live, but in NJ you can get 4 weeks of temp disability prior to your due date with your dr's approval. After birth, you can have 6 weeks for reg delivery and 8 weeks for a c-section. None of this 10-12 week period of time is unpaid. After the temp disability, you are eligible for FMLA for up to 12 weeks. Anyone who has a baby qualifies for FMLA if they work for an employer with more than 50 employees. You DO NOT have to be disabled to use FMLA when you have a new baby. This also applies to those who adopt children. Additionally, in NJ, beginning 7/1/09, 6 out of the 12 weeks of FMLA will be paid leave. The paid FMLA in NJ will work like unemployment. You can collect 75% of your weekly wages up to a certain amount. Be aware that the FMLA only guarantees a job to return to, not necessarily the job you had before you went on leave. You will have to be paid the same salary however.
Any time you wish to be off beyond the FMLA is at the discretion of your employer. My employer offers an additional 4 weeks of FMLA beyond the 12. Hope this helps.