Professor Quigley's areas of research interest include breastfeeding, fathers and smoking in pregnancy. She has published extensively on the health outcomes associated with infant feeding and was a co-investigator of a UNICEF-funded project which estimated the costs associated with not breastfeeding in the UK. She has recently led an MRC-funded study of health outcomes in infants conceived following infertility treatment and a Bupa Foundation-funded study of health outcomes following preterm birth, with a particular focus on late preterm and early term birth. Together with the Multiple Births Foundation, she has co-led a project to produce guidelines on infant feeding in multiple births, which was funded by the Big Lottery Fund.