[2] McVeigh's career in journalism began at the Ulster Gazette and Tyrone Courier.
[3] In 2003, McVeigh co-presented live coverage on the television channel BBC World of the unfolding events in Iraq.
In 2016 and 2017, McVeigh presented BBC News Specials covering terrorist attacks.
In 2024, McVeigh, Kasia Madera, Karin Giannone and Martine Croxall, all high-profile BBC journalists, all began an employment tribunal claim against the BBC, alleging age discrimination, sex discrimination and unequal pay.
[7] McVeigh married BBC manager Martin Read, from Hartlepool, County Durham in 2005.