There are no markings. The last picture shows a Barton Kramer 713 on top. It is slightly larger and will not fit into the door.
Emily from SWISCO responded:
October 27, 2021
Hi there!
We don't carry this exact roller, but we have a few that are similar. Take a look at our 81-046, 81-057, 81-257 and 81-289. Carefully look over the dimensions for each and see if any match what you need.