There are several web sites that list pubs in various parts of the UK. I compiled this list for Harborne:

Arco Lounge
Bell
Belmont Hotel
Café Rouge
Court Oak
Golden Cross
Green Man
Grove Tennants Hall
Harborne Stores
Hillyfields
Junction
Kings Arms
Kings Head
New Inn
Old House at Home
O'Neill's
Plough
Proverbial
Quantum
Scarlet Pimpernel
Sportsman
Station Hotel
Stonehouse
Varsity
Vine
White Horse

I offer no guarantees that this list is accurate or complete. I only present it in the hope that it may jog someone's memory and enable them to reconstruct the song, or parts of it.