I don't know whether this has been mentioned before, but Brian Lawson's marriage index has:
SHIMMIN, Frances Annie 27 Jun 1895 C mal 142 CLAGUE, Bramwell Clarke.

Mary's transcript had the father's name as Shimmin, so this looks a good possibility? You could buy this cert from the Registry to get further details.

There is a Frances Anne Shimmin bapt Malew on the IGI, but with father William. If Mary has another look at the marriage entry to get the date for you perhaps she wouldn't mind double-checking that her father was Philip Shimmin - there were a lot of Philips in her transcript.

Sue