  In the first part of this work \cite{Du}, a quantitative supplement to the
Hasse principle was given for the count of the number of automorphic orbits of
primitive zeros of a genus of ternary quadratic forms. This sequel contains,
for certain special forms, an independent and elementary proof of this result.
When combined with other results of \cite{Du}, this proof also leads to a
refinement of an asymptotic result of \cite{Du} and some corollaries for these
special forms.
