Ahh, if there is no headstone, then my CDs cannot help -- they contain the MIs recorded in a graveyard survey done in 1990
I doubt the Parish Council will have any further info either -- you would need to try either Derbyshire Record Office to see if the burial books from that period have been deposited yet or the actual church if the books are still in use
ETA : Have just double-checked the CD -- although there's several Barratts in the Index, theres no Judith amongst them