Marriage lookup - Griffiths/Wellings c.1836

[bagpuss]

Hello Rootschatters,

Is there anybody who might know where I might find the details of a marriage between Evan Griffiths and Ann Wellings in either Aston or Birmingham.  Their first child was born in 1837, so the marriage would be just before the beginning of civil registration.  There's nothing on the IGI, so I'm at a bit of a loss as to where I might find this information.  Any help or advice would be greatly appreciated.

Best Wishes
Sue