Being a Witton Parker I thought i'd give my input on this.
St Paul's has no graveyard. There is a cemetery at WP but that was only opened in the 1940's.
Places to check for burials of Witton Park residents
St John, Escomb
St Cuthbert, Etherley
St Philip & St James Witton le Wear
Also St Andrew, Auckland
All burial registers for these churches are at County Hall, Durham.
Cheers
Jay