If you do not have any address for the defendant, and you are asking the court to establish paternity or child support, it might be best to apply to the Department of Revenue Child Support Enforcement Division.
DOR/CSE has parent locator services.
The court usually needs proof that the defendant has been notified about the case before it establishes paternity or child support.
If you cannot serve the defendant in any other kind of case, talk to a lawyer.