John Miller of Leithen FRSE MICE DL was a Scottish civil engineer and Liberal Party politician. Together with Thomas Grainger, he formed the influential engineering firm Grainger and Miller, specialising in railway viaducts.

The Edinburgh and Glasgow Railway was authorised by act of Parliament on 4 July 1838. It was opened to passenger traffic on 21 February 1842, between its Glasgow Queen Street railway station and Haymarket railway station in Edinburgh. Construction cost £1,200,000 for 46 miles (74 km). The intermediate stations were at Corstorphine, Gogar, Ratho, Winchburgh, Linlithgow, Polmont, Falkirk, Castlecary, Croy, Kirkintilloch and Bishopbriggs. There was a ticket platform at Cowlairs. The line was extended eastwards from Haymarket to North Bridge in 1846, and a joint station for connection with the North British Railway was opened on what is now Edinburgh Waverley railway station in 1847.