Ancestry have some Railway records:
UK, Railway Employment Records, 1833-1956
The collection features selected records from the following companies:
RAIL397: London and North Eastern Railway Company
(and others)
However piece no 13 is missing.
When I tried to look for my G-Grandfather's records, I found it more cost-effective to employ a specialised Railway researcher.
I live on the Isle of Man, and would have to pay for transport and accommodation if I went to Kew!