Linux - find files and copy them in that folder but with different name

With this command I can find files and copy them somewhere else:

find /path/to/parentfolder -name "*.doc" -exec cp {} /path/to/copy/to ;

However, I'd like to copy these files in the same folder I found them, but with a different file name. The structure has different subfolders.

Do you have an idea on how to solve this?