What is home ownership of deceased parents.

Homes don't go to probate, wills go to probate, or if no will, the estate is administered by the Court (although it might be called something different than administration n your parents' state).  The home could pass directly if title was held in a certain way (e.g. life estate for parents, remainder to children) but that is unlikely.  Most likely your parents owned the home as tenants by the entirety, meaning that the latest to pass owned it completely, and it will pass according to that person's will (which must be probated) or, if no will, by the laws of intestacy of their state.  Usually, those laws will provide that the property goes equally to the children.  However, you may need to institute a court proceeding to confirm it and confirm title.  If the chilldren are not agreed about what to do with the property, it can be partitioned, either by agreement of the children (e.g. 3 buy out the share of the 4th) or in a court proceeding, which would be expensive and time consuming.