June 21, 2019
This was the piece not on the drawer itself, but on the front of the rail. The rail is mounted in the middle. This piece broke in half (and maybe other pieces are missing underneath the dresser itself.
I can add more photos if needed, of the drawer guide itself, or try to get a photo of a non-broken one (which is hard because I can't fully remove other drawers very easily.
June 22, 2019
Some additional photos of the part that is attached to the middle back of the drawer itself.
Seems to say "Kenlin" on it?