Thanks Soybean,
I thought I did what you said, except I didn't understand the middle part, "Copy the .dbx folders to whichever media you're going to use for this."
Here's what I did. I found the OE .dbx files by the method you brilliantly suggested.
I found OE on the new computer.
I copied the .dbx files from the old computer to the new computer into the new computer's OE folder (which I noticed, btw, didn't have any .dbx filed in it, but then, I'd not used OE on that computer and neither had the previous user, so I thought that might be normal.
Then, I clicked on Import/Export in the File menu of Outlook. I made my way through the choices and windows to the OE folder, clicked select, and got the following message:
"The mail folder could not be opened. If another application is using this file, please close it and try again."
But no other application is running or using it.
Another aside, the new computer has at least three OE folders, but I made sure that the folder I copied the .dbx files to, and the folder I navigated to with the Import/Export wizard were the same.
What did I do wrong?
Thanks, Thetimoth