From the Dictionary of Nautical, University, Gypsy and OtherTongues first published in 1859.
On the Tiles: out all night “on the spree,” or carousing, in allusion to the London cats on their amatory excursions.
(Ohhh, I like it. Especially the image of tom cats slinking the roofs looking for trouble…
I think I could use a night On the Tiles.)