Share 'Taking on clients who are due the same day.'

So, here is the deal, I have a client who is due on July 3rd.  We have already had our first prenatal meeting and we are planning our 2nd.  I just got a call from a mama who is due the same day.  We are meeting on Monday for the first time to discuss options.  What is your take on this?  I am tentative about taking them both on, realizing that there is a very very small possibility that they coul…