Hi Matt, 
Can't help with William's or Mary's parents but I think this should be them in 
1871:
RG10/2656 52 5 
Temple Guiting, GloucestershireWilliam Joines, head, 55, Master carpenter, b. Kineton Temple Guiting
Mary, wife, 65, b. Dumbleton 
and next door:   George Joines, head, 23, Carpenter, b. Castelet? Guiting Power 
Sarah, wife, 20, b. Temple Guiting  
William, son, 1, b. Kineton Temple Guiting
Tanja  
