Maybe the seven Dwarves were met by a lady by the name of Snow White...(must get Disney out of brain)
?
Even if there were 14, that still begs the question about, well, how it all got started as in the second generation everyone's marrying 'cousins,' and in each generation after that the families become even closer and mingled. Still, it might be possible, though 12-14 individuals might be a nonviable population, however long-lived.