  For a finite subgroup $\Gamma\subset {\mathrm{SL}}(2,\mathbb{C})$, we
identify fine moduli spaces of certain cornered quiver algebras, defined in
earlier work, with orbifold Quot schemes for the Kleinian orbifold
$[\mathbb{C}^2/\Gamma]$. We also describe the reduced schemes underlying these
Quot schemes as Nakajima quiver varieties for the framed McKay quiver of
$\Gamma$, taken at specific non-generic stability parameters. These schemes are
therefore irreducible, normal and admit symplectic resolutions. Our results
generalise our previous work on the Hilbert scheme of points on
$\mathbb{C}^2/\Gamma$; we present arguments that completely bypass the ADE
classification.
