Have you played around with this one, Babs?
FamilySearch ► Research Aids ► England Jurisdictions 1851
http://maps.familysearch.org/
For Sedgley it's telling me:
Place: Sedgley
County: Staffordshire
Civil Registration District: Dudley
Probate Court: Court of the Peculiar of the Manor of Sedgley
Diocese: Lichfield
Rural Deanery: Himley
Poor Law Union: Dudley
Hundred: North Seisdon
Province: Canterbury
I searched "Sedgley" then after a wait I clicked on "Sedgley, Staffordshire" and in the box that came up I clicked on the tab for Jurisdictions.
Still from the same site, Civil Registration districts contiguous to Dudley are:
Stourbridge
Wolverhampton; Walsall; Penkridge
Penkridge
Wolverhampton
Bromsgrove; Stourbridge; West Bromwich
West Bromwich