Celtic's Miller was the architect with a dazzling goalscoring performance for Scott Booth's Under-16 side.
Miller's Hoops colleague Theo Archibald was another constant thorn in the England rearguard, while visiting captain, Manchester City's Cameron Humphreys, caused a myriad of problems all night.
Scotland goalkeeper Robby McRorie had watched anxiously after dropping a regulation catch before Chris Willock stabbed into his side-netting.
And Miller soon put the hosts in front after capitalising on a communication breakdown between keeper Alfie Whiteman and captain Humphreys, to collect the loose ball and stroke home.
Miller had a glorious chance to double Scotland's lead before half-time but this time Whiteman tipped the ball around the upright.
And in a nervy second half, Ross McCrorie almost ended the contest for Kenny Swain's England when rising highest from a corner only to watch his header cannon off the crossbar and away to safety.