After his release from jail last summer, goalkeeper Luke McCormick was offered a trial at Swindon Town.
The mother of the two boys killed in the car crash said learning about the club's offer to McCormick was "like being hit in the stomach".
The goalkeeper was jailed for seven years and four months in 2008 for killing Arron Peak, 10, and brother Ben, eight, in a motorway car crash. He was twice over the drink-drive limit and speeding.
Amanda Peak, 34, whose husband Phil suffered a broken neck and back in the crash, told The Sun: "Swindon might be a family club, but now they're hiring a man who has torn my family apart."
More top news
Accompanied by the Duke of Edinburgh, the Queen will attend the opening ceremony of the fifth session in the Holyrood chamber.
Ms Leadsom has received the backing of Ian Duncan Smith, the former work and pensions secretary.
The former shadow work and pensions secretary is considered a more viable candidate than Angela Eagle, a Labour source has told ITV News.