Hi,
Yes that is the Birmingham Silver Co.Inc. of Yalesville, Connecticut. See:
http://www.925-1000.com/silverplate_B2.htmlFormerly known as the Goldfeder Silver Co., the changed their name to Birmingham Silver Co. c.1957, so your tray can be dated to after that event.
As a rule of thumb, if it is not marked sterling/925, then it's not.
Trev.