  The braid axis of a closed 3-braid lifts to a genus one fibered knot in the
double cover of S^3 branched over the closed braid. Every (null homologous)
genus one fibered knot in a 3-manifold may be obtained in this way. Using this
perspective we answer a question of Morimoto about the number of genus one
fibered knots in lens spaces. We determine the number of genus one fibered
knots up to homeomorphism in any given lens space. This number is 3 in the case
of the lens space L(4,1), 2 for the lens spaces L(m,1) with m>0, and at most 1
otherwise.
