  The construction of hypergeometric $2D$ Toda $\tau$-functions as generating
functions for weighted Hurwitz numbers is extended to multispecies families.
Both the enumerative geometrical significance of multispecies weighted Hurwitz
numbers, as weighted enumerations of branched coverings of the Riemann sphere,
and their combinatorial significance in terms of weighted paths in the Cayley
graph of $S_n$ are derived. The particular case of multispecies quantum
weighted Hurwitz numbers is studied in detail.
