Conway is in Slabtown, which historically since the late 1800s extended North of Glisan to the river and out in the flats all the way to about where the St. Johns bridge is. The more current definition shrinks the area to North of Lovejoy (South being Nob Hill) and not extending nearly so far West.
While use of the name Slabtown may not be that common, old timers and historians still refer to the area with that name. Portland loves its history, so it is likely that the name will be coming back. We have somewhat recent precedent for this in Goose Hollow, where the name fell into disuse only to be revitalized by Bud Clark and others about 50 years ago.