Searching through some online boards, I found this suggested wording for a court order of one-and-the-same:
IT IS HEREBY ORDERED and DECREED that the following be and is hereby established:
1) The person named XXX XXX XXXX, born in XXXXXXXXXX, Kingdom of Italy on (DATE), to (FATHER'S NAME and MOTHER'S NAME) of XXXXXXXXXX, Kingdom of Italy, is one and the same person as YYY YYY YYYY, born (DATE), in XXXXXXXXXX, Kingdom of Italy; "
… the petition would be called a "Petition for a Miscellaneous Order" and the order is titled "Miscellaneous Order" because it's not part of any contested case (e.g. Johnson vs. Smith).