It is not a "Becker" and was never supposed to be. It was an HE-Grade Super-Fox with XE-Grade wood and engraving that Burt Becker, who was at that time it was originally built an employee/contractor at the A.H. Fox Gun Co., bored the barrels and tuned up for Nash Buckingham, at the request of the AHFGCo.'s salesman Ad Roll. It is clearly shown as an XE/HE in the picture of it in the original Derrydale edition of Ole Miss. Later pictures show that it was apparently restocked at some point before it was lost, maybe by Burt Becker.
Here is a picture, from Dr, Andrew's book, of Nash with the gun in the 1940s.