From what you describe it sounds like the police believed they had evidence of a crime being committed in the home or were search for your baby's father. However, not enough facts have been provided such as whether or not your baby's father had an outstanding warrant, was known to be involved in drugs etc.
The above is just my opinion based upon the limited facts provided. It is not intended to be offered as legal advice nor is it intended to establish an attorney client relationship. You should seek a consultation either in person or over the phone to discuss any legal issue that you may have raised.
I had a little trouble following your post here. There are several things you should be aware of that apply to police power to execute a "no knock" search warrant or arrest warrant. First, the police must have a separate search warrant issued by a magistrate and supported by probable cause to enter the home of a third party for the purpose of executing an arrest warrant on a person who is not an owner/resident of that home. If your baby's father did not reside in the home (or the police did not have a good faith belief that he was a resident), they needed a SW to enter (unless one of several exceptions to the warrant clause applied, i.e. exigent circumstances).
What doesn't make sense from your post is why either you or your mother would go to jail, unless you committed a crime in the officer's presence while they were executing the SW or the officers found drugs or other illegal contraband in the house.
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This response is provided for informational purposes only. It is not a consultation and is not legal advice. You should not act or fail to act in reliance upon the information provided in this response. This communication does not establish an attorney-client relationship between you and our Firm. You should always consult with an attorney prior to taking any action with regard to a potential legal problem.