Here is your 1896 Tynemouth map.
The right-hand part from the British Library is a much lower-quality scan.
View attachment 5682
View attachment 5681
I tried aligning an N gauge template over it. A couple of points to note:
1. at 1:148 scale the track gauge should be 9.7mm. When aligning 9mm gauge templates over it you will see that the rails are inside the rail lines on the map.
2. this is a pre-grouping map, and as usual the switches look extremely short to modern eyes. For this turnout I needed a 9ft switch with 1:7.5 crossing angle. That's not a size combination you would see nowadays outside of a goods yard. If your layout is representing a later date I would suggest using a B-7.5 instead to look right. If using a Finetrax kit, a B-7 would be a close fit.
The BGS3 file is linked here. Right
-click on this link and click Save Target As
... or Save Link As
It is too large at 73MB to be posted as an attachment.
I split the map into 3 separate picture shapes, but they are still very large and the file will be slow to load into Templot.
(For Templot old-timers -- this would have been so much better in the old BGS/SK81 format. Sharper images and loading a lot faster. I changed it to a single file because I got so much grief about it.