Elamir said she was "so grateful" for the players' help.
"A fight broke out among the West Ham supporters right behind us and more and more people kept joining in," said Ms Elamir.
"I was really shaken up but the boys were chatting away to the players and watching the game. They were unaware of the chaos going on around them."
"I was terrified and just wanted to get the boys out of the stadium. As I was pushing them towards the exit a Burnley player said 'Do you want me to put them in here?'"
After the final whistle the three young boys were also given a shirt, training jacket, and boots by the players.
"They were absolutely thrilled. They saw themselves on Match of The Day and have watched that about a hundred times!" said Elamir.
"I'm so grateful to the Burnley players for taking control during such a frightening situation."
"It's been a lovely experience from what had been an awful day."
The BBC reported that a series of meetings have taken place since the disturbances.