A more thorough explanation:

A prayer of process is a request made in a legal document called a bill in equity. It asks for a subpoena to be issued if the defendant does not respond to the bill.

For example, if someone files a bill in equity against their neighbor for building a fence on their property, the prayer of process would request that a subpoena be issued if the neighbor does not respond to the bill within a certain amount of time.

This prayer is important because it helps ensure that the legal process moves forward and that the defendant is held accountable for their actions. Without it, the plaintiff may not be able to get the evidence they need to prove their case.