  We treat the topic of the closures of the nilpotent orbits of the Lie
algebras of Exceptional groups through their descriptions as moduli spaces, in
terms of Hilbert series and the highest weight generating functions for their
representation content. We extend the set of known Coulomb branch quiver theory
constructions for Exceptional group minimal nilpotent orbits, or reduced single
instanton moduli spaces, to include all orbits of Characteristic Height 2,
drawing on extended Dynkin diagrams and the unitary monopole formula. We also
present a representation theoretic formula, based on localisation methods, for
the normal nilpotent orbits of the Lie algebras of any Classical or Exceptional
group. We analyse lower dimensioned Exceptional group nilpotent orbits in terms
of Hilbert series and the Highest Weight Generating functions for their
decompositions into characters of irreducible representations and/or Hall
Littlewood polynomials. We investigate the relationships between the moduli
spaces describing different nilpotent orbits and propose candidates for the
constructions of some non-normal nilpotent orbits of Exceptional algebras.
