  We show that if a Legendrian knot in standard contact ${\bb R}^3$ possesses a
generating family then there exists an augmentation of the Chekanov-Eliashberg
DGA so that the associated linearized contact homology (LCH) is isomorphic to
singular homology groups arising from the generating family. In this setting we
show Sabloff's duality result for LCH may be viewed as Alexander duality. In
addition, we provide an explicit construction of a generating family for a
front diagram with graded normal ruling and give a new approach to augmentation
$\Rightarrow$ normal ruling.
