Oh, I wouldn't worry about, especially if you're calling for clarification on Monday. It looks like a standard form they send out acknowledging the docket.
Some cases in family/probate courts do have "defendants" (though not always a "defendant" in the standard form of the word) which requires notice. Such as, since you're a minor, if your biological/legal father isn't on the paperwork, he's entitled to notice that you're changing your name. He'd either need to sign an assent form, or be served according to the laws of service in your state (usually either first class mail, using a process server, or hand-delivery by a disinterested party). Sometimes, even siblings need to be given notice.
Anyways, it does look like an "In Re" case, it's hard to tell since you blacked it out, but I am guessing it says your name under your black-out. If it wasn't In Re, it would say X vs. Y right on that form.
