The Serenader brand was owned by Buegeleisen and Jacobson. Many (but not all) of their instruments were locally sourced from the NYC area. This one looks like an inexpensive, early tenor (maybe ca. 1920).
I once owned one of those little tenor banjos with the metal rim. I really liked it for it's corny appeal.
Bear with me while I speculate. Thinking out loud.
My metal rim banjo was branded Luxor. (see Photos)
Luxor was a brand owned by jobbers B. Horenstein & Sons, 45 W. 17th St., N.Y.C.
Buegeleisen & Jacobson were jobbers located at 5-7-9 Union Square, N.Y.C.
Essentially same banjo different N.Y.C. jobbers.
Your banjo has an Elite tailpiece. Elite tailpiece was owned by Wm. L. Lange BUT banjo makers Albert Houdlett & Sons in Brooklyn liked them and mid-twenties came out with an Elite-type tailpiece branded Lynbrook which was a Houdlett brand name. Houdlett made some really budget banjos.
The metal U-King banjo uke was made in Indiana but I think there was a metal rim maker in Long Island City as well.
Anyway, I was never sure who made my Luxor but I did speculate that it was Albert Houdlett & Sons who bought the rims from U-King or Long Island City and made the necks and I speculate that is true for your banjo as well.
I think ca. 1926 Houdlett over in Brooklyn made these little metal rim banjos and sold them to jobbers in New York City who at the time were plying inexpensive tenor banjos to dealers looking for a really inexpensive banjo to supply the demand for tenor banjos mid-1920's.
Just thinking out loud.
'Johannes Bonefaas 12"' 6 hrs