Ermine street
You'd better check your geography. There is no Roman road between London and New York. London is in Europe while New York is in North America. There's the Atlantic ocean between them. No road.
Ermine Street connects London with both Lincoln and York. All three were important Roman cities. London and York both had capital city status).
The driving distance between York and London is about 209 road miles.
London to York By road it's 212 miles.
Boston road
202 miles / 325km
Many of the roads in England are based on the Roman routes. The Fosse Way, from Exeter to Lincoln, Watling street in Kent, Ermine Street & many others. The A1 as it exists today obviously bears no relationship to a roman road, but it replicates the impotance of a major highway from York to London.
Assuming you are driving, take the A1 road from London to the point SW of York where it meets the A64, and then the A64 to Scarborough
174.419 miles as the crow flies 210.281 miles by road
Central London to York is about 210 miles.
There Goes the Bride - 1932 was released on: UK: 26 October 1932 (London) USA: 1 March 1933 (New York City, New York)
Presuming the question is about London and York in the UK, then either: 1. By Road : M1 (to Junction 45) - A64 2. By Rail : British Rail Which is quickest depends on the time (eg when you want to start or get there) of travel.