Nobody has mentioned a song that is definitely about Newcastle-under-Lyme and it's called 'Newcastle Wakes'.
I nice little song that we have been singing for many years as an amateur folk group called Fustian based at Higherland Methodist Church, Newcastle.
The song is included in quite a few publications but the latest one I've seen is in a book called 'West Midlands Ballads' by Michael Raven - ISBN 978 0 90611485 8.
We first heard this sung by the High Level Ranters because they originally mistakenly thought it was about the 'Geordie' Newcastle.