  Understanding the map of line defects in a Quantum Field Theory under a given
duality is generically a difficult problem. This paper is the second in a
series which aims to address this question in the context of 3d $\mathcal{N}=4$
mirror symmetry. A general prescription for constructing vortex defects and
their mirror maps in quiver gauge theories beyond the $A$-type was presented by
the author in an earlier paper [arxiv:2103.01243], where specific examples
involving $D$-type and affine $D$-type quivers were discussed. In this paper,
we apply the aforementioned prescription to construct a family of vortex
defects as coupled 3d-1d systems in quiver gauge theories beyond the
$ADE$-type, and study their mirror maps. Specifically, we focus on a class of
quiver gauge theories involving unitary gauge nodes with edge multiplicity
greater than 1, i.e. two gauge nodes in these theories may be connected by
multiple bifundamental hypermultiplets. Quiver gauge theories of this type
arise as 3d mirrors of certain Argyres-Douglas theories compactified on a
circle. Some of these quiver gauge theories are known to have a pair of 3d
mirrors, which are themselves related by an IR duality, discussed recently in
[arxiv:2109.07493]. For a concrete example where a pair of 3d mirrors do exist,
we study how the vortex defects constructed using our prescription map to
Wilson defects in each mirror theory.
