Made by Bissell? I have no idea, but it sure is unique. That motor is tiny! If you zoom in on the head, it does have "Bissell's" stamped or possibly painted on the head. The bag top reminds me of a Packard/Lincoln.
https://www.grpmcollections.org/Detail/objects/128760
https://www.grpmcollections.org/Detail/objects/128760