There is no record of that marriage in the North Leigh registers. However, FreeBMD has the following marriage:
Jun 1903 - Chipping Norton RD
Annie Maria BISHOP
Unfortunately, Chipping Norton RD consists of over 50 parishes so you would need to order the marriage certificate to discover the name of Annie's father.
These look like George and Annie's children (all registered in Chipping Norton and with mmn BISHOP):
1915 - Violet H.
1917 - Frederick G.
1920 - Arthur J.
1925 - Reginald J.