Does Time Machine save TextEdit drafts?
Time Machine does back them up.

They are kept in
~/Library/Containers/com.apple.TextEdit/Data/Library/Autosave Information/
File named Unsaved TextEdit Document

so, for Time Machine, it would be
/Volumes/[TMvolume]/Backups.backupdb/[computer]/Latest/[drive name]/Users/[user]/Library/Autosave Information
or use the first path &amp; Enter Time Machine, which would probably be simpler.