Hmmmmmm....!
Alexander Cunningham Ryan's marriage is on FreeBMD - Jan-Mar 1908 Plymouth district, and the two possible brides are Beatrice Winifred Pickford and Clara Ward. I was meaning to get around to looking at his army records on ancestry anyway, and there are three sets listed. The first set is his Scots Guards WW1 papers and it states that his next of kin is wife Beatrice Winifred Ryan of 63 Lilford Road, Camberwell, London SE, and that he married Beatrice Winifred Pickford, spinster, 14.3.08 at the Register Office Plymouth, witnesses B M Launder and H Pickford.