Then I'm sure the "problem" is that the stock wrapper was purged, the styles are still there as they exist in the database..

She'll want to go into the style editor and validate that her styles exist, then go into the wrapper editor (also in the style area) and validate that the wrapper exists; if they do then editing one and submitting the page should hopefully rewrite it to the flat file.

If the wrapper doesn't exist, the default wrapper is:
Opening HTML:

I uploaded the styles last night. I downloaded them to:

forums/styles/images

Is that correct? Thanks.

Well it probably is correct depending on the style but you will still need to import them again.
Problem is it writes a file name with a timestamp in the name that is written to the database.

You can try gizmo's suggestion but I think it will not work because you deleted everything.
I also found that you had a similar problem two years ago.
So I would suggest to delete a style and then import it again.
using:
Control Panel » Styles
import style

If you don't delete one first you will need to rename the style with a different name
Then you will also need to assign a default style when done.

Try one style and see how it goes.

I think I am on the right path. It's looking better. Thanks for all your help.

Yep, looks like you got one style working.
FYI, I have done this myself with deleting styles.
And it was tough to get it working again.
So don't feel like you are the only one that has done this.

Don't forget to make a backup when done!