Maternity claims and employee termination

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Employee is terminating soon and is pregnant. She has incurred some expenses related to the pregnancy such as doctor visits but the doctor wants to bill all at once after the birth and apparently is refusing to separate out a small portion of the bill so this employee can make a claim. The baby is due after the claims grace period of this plan.

Is there any rule that the doctor has to abide by to get him to bill (provide evidence for) for incurred expenses? Any other method or recourse whereby the employee can recoup some of the money she already contributed besides COBRA?

Thanks