The only galley recodred as constructed by Henry is The Great Galley
There is some confusion in that the English called "Galleys" what were technically "Galleasses": oared ships carrying heavy cannon.
And further confusion in that Mediterraean galleasses were heavy galleys with a gun deck above the main proplusion oar deck, while English galleasses were lightly built oared ships with a gun deck (with heavier guns) below the axuillary propulsion oar deck. Nost English "galleys" were eventually reconstructed to more successfull galleons.
Indeed there is an argument that the term "galleon" arose to describe a low-charged (ie without high fore and stern castles) ship similair to an Englsh galleasse, but without oars.