The flying Scotsman is a passenger express service between London Kings Cross and Edinbrough. Since it's inception in 1862 (originally terminating in Glasgow) there have been many different types of engine pulling the express; currently an Intercity 225.
The most famous engine, and bearing the name, was the LNER A3 pacific class class No 4472 (formerly a A1 class numbered 1472) steam train. It was built in Doncaster in 1923 to a HN Gresley design.