What needs to be done to close out your father's estate is to have a final inventory of the estate's assets file by the probate lawyer as well as a petition to the court for an order of distribution where the assets will be distributed to those entitled to what they were given, creditors paid and an order of final distribution signed and filed with the court clerk.At this time the girlfriend of your deceased father can file whatever pleadings with the probate court concerning the above suggested petition. The probate judge will then conduct the hearing, review all pleadings concerning it, listen to any oral argument and then make a decision hopefully closing out the estate.