  We construct new families of $\text{AdS}_2 \times S^2 \times S^2$ solutions
with 4 supercharges in Type II supergravities. We show that subclasses of these
solutions can be interpreted in terms of defect branes embedded in 4d
$\mathcal{N} = 4 $ SYM, or orbifolds thereof. This is explicitly realised by
showing that the solutions asymptote locally to $\text{AdS}_5 \times
S^5/\mathbb{Z}_n$, in Type IIB, or its T-dual background, in Type IIA. The
latter is a Gaiotto-Maldacena geometry realised on an intersection of D4 and
NS5 branes. We extend the Type IIA solutions to include D6 branes, and
interpret them as describing backreacted baryon vertices within 4d $\mathcal{N}
= 2$ CFTs living in D4-NS5-D6 intersections. We propose explicit quiver quantum
mechanics in which the defect branes play the role of colour branes, with the
D4 branes of the D4-NS5-D6 intersection becoming flavour branes. These quivers
are used to compute the degeneracies of the ground states of the dual super
conformal quantum mechanics, that are shown to agree with the holographic
expressions.
