The whole of the upper park was used as allotments during WW2, I think.
Extract from Wikipedia.
"A 1732 engraving of Birmingham, England shows the town encircled by allotments, some of which still exist to this day. Whilst St Ann's Allotments in Nottingham, created in the 1830s, is regarded as one of the oldest allotments sites in England, as well as the largest site of Victorian gardens in the world, the accolade is actually reserved by Great Somerford Free Gardens in the Wiltshire village of Great Somerford. These were created in 1809 following a letter from Rev Stephen Demainbray to King George III in which he asked the king to spare, in perpetuity, 6 acres from the Inclosure Acts for the benefit of the poor of the parish".