Probably not until and unless the process server gets the correct address and actually serves you. The the documents should explain the matter fully.

If the person who was attempted to be served took note of the court involved, and told you what court it was, you could call the Clerk of the Court and inquire.

Otherwise you would need to ask every possible court, which would take a great deal of time and effort.

You have not been lawfully served (at least not in most US jurisdictions) until you have been served in person, or perhaps by mail, or by publication in a newspaper, or in some other way considered lawful in your jurisdiction, but serving a person at your old address is not likely to be valid service. (Valid methods differ from one jurisdiction to another, and in some situations differ by the kind of case involved.) If the person at your old address gave the server your new address, s/he will probably be along shortly.