I think this is a Checker cab, with the back open, but covered with a little awning. 1942, the Bowery, New York

https://onceuponatown.tumblr.com/post/77907262654/new-york-saint-marks-place-and-the-bowery-at

see what I mean now about the awning in thephoto now? 

Steve happened to have a PDF of the sales brochure though, so, enjoy this look back at one of the ugliest cars ever.