This is particularly evident in western England, especially Cornwall, which retained some Celtic language until post medieval times.
Cornish survives as a spoken language even today, though it isn't very prevalent, I seem to remember that it’s closer to Breton than Welsh though.
If your interested in the development and regionalisation of the English language around Britain you may like to read 'The Adventure of English' by Melvyn Bragg, it's a good read anyway.