The forwards (two of six Blues in action at Brighton and Hove Albion's AMEX Stadium) were on target in a sensational 8-0 win against Norway - White bagging a brace and Hemp scoring the second of the night, while Beth Mead also netted a hat-trick, and Georgia Stanway and Alessia Russo also found the net.
The City pair started the game for the Lionesses, alongside Keira Walsh, as Sarina Wiegman named an unchanged side to the one that opened with victory over Austria, while Julie Blakstad also made Norway's XI.
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Greenwood and Kelly were introduced from the bench in the second half, while Ellie Roebuck and Demi Stokes remained unused substitutes.
The Lionesses raced into a commanding lead with three goals inside the opening half-hour. Former Blue Stanway broke the deadlock from the penalty spot on 12 minutes, smashing past Guro Pettersen after White had been upended by Maria Thorisdottir on the turn.
Four minutes later, the lead was doubled, courtesy of Hemp, who clipped in Mead's drilled delivery from close range - and the PFA Young Player of the Year almost grabbed a second soon after but could not quite adjust her body to convert.
White then made it three a minute before the half-hour, dispossessing Thorisdottir, driving forward and slotting home with aplomb.
The City stars continued to shine as Hemp turned provider, crossing for Mead to make it four after White had robbed Maren Mjelde, and the Arsenal forward added a fifth with a mazy run and finish five minutes later to double her personal tally.
With England continuing to cause havoc down the right flank, White converted her second of the night, sliding in at the far post to find Fran Kirby's cross, as the home side ran riot in the first half, breaking the record for goals scored in the first half of a Euros game.
One goal shy of equalling Wayne Rooney's England goalscoring record, White was inches away from making it seven before the break to complete her hat-trick, while Hemp's touch just let her down after the restart.
White headed wide in her last action of the game, as Wiegman made a triple substitution before the hour, introducing Greenwood for her first minutes of the tournament.
Stanway then drove a low effort just the wrong side of the post but England would grab a seventh when Russo nodded in Lucy Bronze's delivery.
Chloe Kelly then replaced Hemp for the final 20 minutes and almost crafted an assist for Mead, while Ella Toone twice drew saves from Pettersen.
Greenwood then struck the crossbar with a powerful effort from the edge of the box before curling a free-kick over the bar.
Keira Walsh also came agonisingly close to her first England goal, forcing Pettersen into a stop - only for Mead to bag the rebound to cap an incredible night for the Lionesses and secure progression in style, becoming the first side in Euros history (on both the men's and women's side) to score seven goals in a single game.
England complete their group stage campaign against Northern Ireland on Friday 15 July at 20:00 (UK time) at Southampton's St Mary's Stadium.
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