Culnaman is in Desertoghill Parish and there are numerous spellings such as Coolyman, Cooleneman as well as several parts of the townland with unofficial names such as Carragh/Nacarragh, Derrymore, etc. There are several suggested meanings of the name such as 'corner of the women' or 'corner of the Peaks.'
Unsurprisingly for the area it was home to many, many Kennedys.