It's an anglicized spelling of Máire (Mary).
Some names do not have an Irish Gaelic version; Lauriedoesn't but Marie is the French version of the Irish Gaelic "Máire" [maura/moyra].
Maura Vespini's birth name is Maura Cacchi.
Maura Anderson's birth name is Maura Anderson Hentz.
Maura Antas's birth name is Maura Locke Antas.
Maura Tierney's birth name is Maura Lynn Tierney.
Carmen Maura's birth name is Carmen Garca Maura.
Maura Hooper's birth name is Maura Grace Hooper.
Maura West's birth name is Maura Jo Snyder.
Maura McGiveney's birth name is Mary McGiveney.
Maura Horan (:
Bobby does but Maura doesn't.
His mother is Maura Gallagher and his father is Bobby Horan.