I have three red eyes, all treadle machines.
Cleaning the bobbin area is fairly easy. You start by removing the needle plate and slide plate and cleaning out everything underneath.
Removing the bobbin case requires lifting and moving the end tab of the bobbin case retainer, or unscrewing and removing it. Depends on which version you have.
IF you have the version with the lift and rotate tab, DO NOT UNSCREW the screw that holds the spring parts on. Those have a specification for the thread to pass around the bobbin case. Throw that out and you can mess up the thread path.
This is detailed in the owners manuals for each type.
Joe