The British Library has released a large collection of English folk song recordings made by Percy Grainger. Here are some from south and mid Staffordshire…
A frog he would a-wooing go (Black Country).
As I ran down between the barley (Tettenhall).
Come all you blades (Tettenhall).
Black Country story of how the Jack donkey swallowed the Moon.
Golden slippers / Nutting girl (Abbots Bromley).
Rolling in the dew (near Dudley).
There’s also a “Staffordshire Hornpipe”, but regrettably that’s paywalled and available only to licensed universities.