Interesting to see where you've drawn the line.
I was going to say something to the effect that (having lived in both), I'd put Lincoln and Stoke-upon-Trent* in 'midlands' (although you seem to refuse to accept the existence of that concept) but even the northern edges of Stoke-on-Trent* (e.g. Tunstall) and north Lincolnshire places like Grimsby and Scunthorpe in 'north'.
Tbf I wasn't very serious and just drew a line across a map without really thinking much about it, at least in the west. I tend to think of Stoke as north, but perhaps I should have drawn the line a bit north of it. In Lincolnshire I deliberately drew it north of Lincoln, which I think of as Midlands, but south of Grimsby, which definitely seems northern to me.