Extinct, obscure one (I say obscure, because I couldn't find any images, or vintage postcards of it online, but who knows).. This ad's from a 1970 accommodation directory I have.
Building is no longer standing, but moving laterally from it's original location, there are a couple similar buildings. An almost identical set of apartments on 23rd, then the MacThrift on 22nd.. which has a two-story strip of rooms similar to The Virginian.
I notice as I go thru this 50 year old directory, the independently owned, bygone motels often used names & marketing invested in regional and local identity.. now most of the oceanfront hotels are essentially indistinguishable, cookie cut members of uniform chains.
If anyone has pics, or postcards of The Virginian to share, I'd like seeing them: nat.rain@gmail.com