Covered by a domical vault, the Dove Cote () is a Grade II* listed tall 13th-century cylindrical column in a middle of the Hill Head field, which lies in close proximity to St Illtuds Church, next to the site of the old tithe barn, built for the monks at the St. Illtud's monastery. Another site on Hill Head is the (13th–14th century) gatehouse, now belonging to St Illtyd's Church, Llantwit Major. Today these are the only remaining buildings which at one time belonged to Tewkesbury Abbey. There is a plaque on the gatehouse, telling of its history.