  We investigate a class of hierarchical multiple layers of fractional quantum
Hall soliton (FQHS) systems from Chern-Simons quivers embedded in M-theory on
the cotangent on a 2-dimensional complex toric variety \bf V^2, which is dual
to type IIA superstring on a 3-dimensional complex manifold \bf {CP}^1\times
V^2 fibered over a real line \mathbb{R}. Based on M-theory/Type IIA duality,
FQHS systems can be derived from wrapped D4-branes on 2-cycles in \bf
{CP}^1\times V^2 type IIA geometry. In this realization, the magnetic source
can be identified with gauge fields obtained from the decomposition of the R-R
3-form on a generic combination of 2-cycles. Using type IIA D-brane flux data,
we compute the filling factors for models relying on \bf{CP}^2 and the zeroth
Hirzebruch surface.
