Mark Sampson’s side were beaten 2-1 by Japan in Edmonton in the early hours of Thursday, with Laura Bassett’s agonising late own-goal proving enough to knock out England.
Japan 2-1 England
FIFA Women's World Cup
Wednesday 1 July 2015
But former skipper White, who missed England’s decisive penalty in a shoot-out against France four years ago, was full of praise for her former team-mates, who created a number of chances against the reigning world champions before the stoppage-time blow.
Posting on her Twitter account, the ex-Arsenal defender said: “Have felt pain like that and wouldn't wish it on anyone. The margins at the top are so small. We win and lose as a TEAM.
"@laurabassett6 you have been immense. A true rock and put in performances you can be so proud of. #Holdyourheadup You’re a true pro.
"Now we just need a small % of TV audiences watching #ENG to support with their feet & go out to @FAWSL games! Support the players & teams!"
Smith was equally encouraging for the unfortunate Notts County defender, who had been a mainstay of the team throughout their World Cup campaign in Canada and throughout qualifying.
"@laurabassett6 Hold your head up high girl.
"You have lead by example and been IMMENSE all tournament. We love you."