From Irish Pedigrees; or the Origin and Stem of the Irish Nation by John O'Hart
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Arms: Ar. a fess sa. cottised gu. betw. two fleurs-de-lis of the second. CUININ, No. 103 on the "Donnelly" pedigree, was the ancestor of Mac-Conein, and O'Conein; anglicised Conan, Coonan, Cunneen, Quinan, and Rabbitt.
103. Cuinin ("cuinin:" Irish, a rabbit): son of Dungal; a quo MacConein.
104. Fergal: his son; had a brother named Aongus.
105. Dermod: son of Fergal.
106. Cubuidhe O'Coonan: his son.