The Cálraighe were a population-group found mostly in northern Connacht as well as County Westmeath and County Longford. They were purported descendants of Lugaid Cal, son of Daire Sirchrechtaig, who was himself a supposed descendant of Lugaid mac Itha, a first cousin of Míl Espáine.
Daire is stated as having five sons, all called Lugaid, from who each derived the Corcu Loígde, Corco Oirce, LoigisLaigin, Dal Mesen Corb and the Calraige.
Around a dozen branches of the Calraige are listed as inhabitants of northern Connacht. They include:
Cálraighe Tre Maige of Druim Leas – now Drumlease parish, County Leitrim
Cálraighe Aelmag – Snedriagail, abbot of Clonmacnoise (died 781), was of this branch
Cálraighe Locha Gile – possibly an alternative name for the previous[which?]
Cálraighe Droma Cliab – an alternative name for the Cálraighe Locha Gile
Cálraighe Laithim – location uncertain, possibly near that of Droma Cliab (Drumcliffe, County Sligo)
Cálraighe Mor – a tuath aithech located with the Lúighne in mid-Sligo
Cálraighe in Chorainn – a.k.a. Cálraighe Morna, found in Corann, Sligo