Steam trains from Nottingham to York 1946
 

[B]Hello I'm a female writer in Australia and I need to know how a couple would get from Nottingham to York in June 1946. The train, the route, the distance, travelling time,and cost. I have searched the net without any luck. If anyone can enlighten me I would be very grateful.

There was probably a direct service on the GC Railway route from Nottingham Victoria (now closed) to York,it would go via Sheffield Victoria(now closed) and over the Swinton & Knottingley Joint line via Pontefract (Baghill)

I am not an expert on the area and the following may not have been the quickest way from Nottingham to York but if you want authentic travel times and mileages you could travel Nottingham (Midland) to Derby (Midland) and change there for York.
Visit the site www.timetableworld.com and you will find the cover of the London Midland Scottish Railway tt for June 1947. Click on the cover and consult table 208 which also has some mileages. I think a route map is included in the tt. Good luck

In those days regular expresses went from Nottingham Midland through Chesterfield and Sheffield (having come through Corby and Manton) to the Settle-Carlisle. It competed with the Great Central (LNER) line though which might have been faster. There was a fast Midland train called the Waverley Express (formerly the Thames-Forth).

You would change at Sheffield for York but it was not the fastest journey. You might instead go across to Grantham or Newark and change on to the ECML.

Note that it would have been LMS or LNER in 1946 not British Rail.