There are many ways to disguise yourself: put on a mask, change your voice, maybe even don a costume. However, only one hero has gone so far as to go without a head for the sake of fighting crime.
Betty was just your average teacher in the Wild West, fed up with how Wild and Western it all was with all the crime and... yeah that's it, I'm sure there were no other injustices going on around that time. Her solution was simple: put on a really big shirt that conceals your head and fight crime as the Headless Horseman!
(She had eyes cut out in the torso, don't worry about it.)
Unfortunately for her, Betty realised all too quickly that you can't ride a horse for too long without a head to see anything. She went on for two comics before disappearing into the sunset, never to be seen again...