Conina (also known as Conina the Hairdresser) is the daughter of the hero Cohen the Barbarian and a temple dancer who he rescued from being sacrificed. The story she gives about how her parents met is identical to a scene in The Colour of Magic, where Rincewind, Twoflower and Cohen rescued a young woman from being sacrificed by druids. She seems to lack a sense of humour, taking Rincewind's joke about her relationship to Cohen to be a statement. From her mother she inherited gold-tinged skin, white-blond hair, a voice that made "Good morning" sound like an invitation to bed, and a very good figure. From her father, she inherited sinews you could moor a ship with, muscles as solid as a plank, and reflexes like a snake on a hot tin roof. She also acquired from Cohen suitable heroic instincts (that is, strong urges to fight, kill, and steal) and an ability to use anything as a deadly weapon. She really wanted to be a hairdresser but her family traits and legacy got in the way; she found it almost impossible to be a hairdresser as every time she held scissors she felt an overwhelming urge to cut the customer's throat rather than hair. She blames her father for this as his barbarianism was "herrydeterry".
She was recruited by the Archchancellor's Hat to break into the Unseen University and steal it in order to prevent it from falling into the hands of the sourcerer Coin. She met up with the wizard Rincewind and requested his aid in getting the hat to its true wielder, somewhere in Klatch.
By the end of Sourcery, she has fallen in love with Nijel the Destroyer, who could be considered her polar opposite in that he came from an ordinary family, with no heroic legacy but wanted to be a barbarian hero and was very bad at it, while she, as the daughter of a famous barbarian hero was forced to be a barbarian hero through instinct and family background, was good at it but wanted to be a hairdresser,
Like her father, Cohen, her name is a reference to Conan the Barbarian the character created by by Robert E. Howard in a series of fantasy stories published in Weird Tales in 1932.