Based on the information you provided I am not in a position to advise you regarding a potential asylum application.
If your wife has received a fictional certificate, this means she has applied for a residence permit. Depending on the type of permit, if she is granted a permit you may be entitled to a residency permit as her spouse. Unless she will receive a refugee status, then generally you will have to show that as a family you have sufficient financial resources in order to support yourselves in Germany before you will be issued wih a permit.
Depending on your nationality and the manner in which you entered Germany, you may be expected to leave Germany and apply for a family reunification visa. However, the fact that your wife is expecting a baby could be sufficient reason to have your application processed here by your local Ausländerbehörde.
If your wife did not already have a residence permit, then it could be the case that she does not have German health insurance. If this is indeed the case and she needs medical attention, I recommend contacting an organisation that helps people in such situations. For example, here is information about such an organisation in Berlin:
Let us know if you need any more help with this.