Aisling Reilly, 25, was from the Lisnaskea area.
The crash happened shortly before 9am on Monday near a quarry on the Dernawilt Road, Ballagh.
Sinn Féin MLA Sean Lynch knows the family.
"It's an absolute tragedy," he told UTV.
"My heart goes out to all of them at this time."
Police are appealing for witnesses - or anyone who has any information about the collision - to come forward.
Dernawilt Road has reopened after it was closed for most of the day.