Hi and welcome to the forum.
There is no obvious Birmingham hallmark in your pictures. For those who are reluctant to click on picture links I have included the marks from your second picture below:
This is typical of a Hanau pseudo-mark (see the Hanau marks page at http://www.925-1000.com/Fgerman_hanau_marks_01.html
). Although the exact combination of marks from your spoon is not illustrated, the crowned P looks very similar to the crowned Ps on marks attributed to Georg Roth & Co.