  We show that the first $AdS_6$ backgrounds in Type IIB supergravity known in
the literature, namely those constructed via T-duality from the Brandhuber-Oz
solution to massive IIA, fit within an extension of the global $AdS_6 \times
S^2$ solutions with 7-branes warped over a Riemann surface $\Sigma$, recently
classified by D'Hoker, Gutperle and Uhlemann, that describes delocalised
5-branes and 7-branes. The solution constructed through Abelian T-duality
provides an explicit example of a Riemann surface with the topology of an
annulus, that includes D7/O7-branes. In turn, the solution generated through
non-Abelian T-duality arises from the upper half-plane.
