In aswer to your question,
The Seven Dwarven clans are the Longbeards (whose Father was Durin, who awoke at Mt. Gundabad), the Broadbeams and the Firebeards (who awoke somewhere in the Blue Mountains, probably at Mt. Dolmed), the Ironfists and Stiffbeards, whose fathers awoke together, and the Blacklocks and Stonefoots, whose fathers also awoke together. Durin is the only named father, although it is possible for Azaghal of Belegost to have been a Father as well, although rather a tenuous suggestion I admit.
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"I am, I fear, a most unsatisfactory person."
- (Letter #124 To Sir Stanley Unwin)
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