There is a birth of a Joyce Barker in Q3 1917 in Chesterfield, MMN Cooper, but then I can't find timely marriage for a Walter Barker to a Ms Cooper.
Perhaps you could get someone to do you an electoral roll look-up for, say 1930-1934 for the address you quote in Beighton to see who was living there then. Joyce, being only 17, wouldn't show up of course, but it might give you somewhere to start.