  We study complex Lagrangians in Hitchin systems that factor through a proper
subvariety of the Hitchin base non-trivially intersecting the regular locus.
This gives a general framework for several examples in the literature. We
compute the fiber-wise Fourier-Mukai transform of flat line bundles on visible
Lagrangians. This proposes a construction of mirror dual branes to visible
Lagrangians. Finally, we study a new example of visible Lagrangians in detail.
Such visible Lagrangian exists whenever the underlying Riemann surface is a
pillowcase cover. The proposed mirror dual brane turns out to be closely
related to Hausel's toy model.
