Thank you, but would they be on a web server if they were saved "On My Mac" only, not in a regular iCloud account folder? That is the reason I put them there, to keep from filling up my iCloud. They were not in smart mailboxes. Only under the "On My Mac" tab in the Mail app, which is supposed to be private and on my computer only. As listed on my side column in the Mail app, it is my Favorites (which are on iCloud web server), Smart Mailboxes (which I don't use and are empty), On My Mac (which had probably 50 file folders of info), and then my iCloud account which is on the web server.
My computer tech is looking for them on the hard drive backup, since the computer mail app is not accessible on the fried motherboard. I was looking for what file on my actual hard drive they would be saved in to reload them. Any ideas on that and thanks for your help!