You simply create a text file with a plain text editor (see Rename from file list for some suitable editors) as in the example below:

First New Name
Second New Name
Third New Name

Each line in the file list corresponds to a new file name. The first name goes to the first file, the second to the second file, and so on; the order is set by the Sort first: and Then: popups of the Rename from file list action. Save the file as plain text in UTF-8 encoding (see Using international characters in file lists).

Can't find what you are looking for?

A short description of what you did, what you expected and what happened instead is usually all we need.