Mullholland is considered one of the most influential figures of twentieth-century traditional Irish dancing.

The Irish Ballet Company made its debut during the Festival of Britain in 1951 at the Empire Theatre in Belfast.

She also produced a further group of ballets sponsored by CEMA, including The Piper, The Dream of Angus Óg and Follow Me Down to Carlow.

[6] Mulholland received an honorary master's degree from Queen's University Belfast in 1975 at the same time as her long-term collaborator Mercy Hunter.

[8] She is commemorated with a Blue Plaque at Brookvale Drive in North Belfast in 2015.