They were called OMC Sea Drive. The Bracket provided Trim and Tilt.
The Unit in the Pic is a Crossflow, but as Racer says there were a couple of models. The Crossflow, as an Outboard in the 1980s, was offered as 85, 88, 90, 100, 110, 112, 115, and 140hp versions, so while it may a lot like your...