This dog is named “Chyno.”
He is much more robust than modern Chinese crested dog. He is almost like a Chinese crested dog crossed with a pug.
This image comes from an article called “Funny Foreign Dogs’ in The Windsor Magazine, (1898).
It is doubtful that this dog has anything to do with the dogs we call Chinese crested dogs, other than it is an historical image of a hairless dog.
Natural History 
The same dogs were called lots of different names, there was no official definition of the names until the 1950s. For instance, this was the Westminster BOB winner in 1940 for the ‘Mexican Hairless Dog’: http://img.photobucket.com/albums/v485/Pietoro/webjunk/1941_MexicanHairless_PansoBOBWestminster_ValexkaRodtkeNY.jpg
That same dog is called a Chinese Crested by some sources, as well. Seeing as how both the Crested and Xolo-type hairless dogs had no clubs, standards, or any significant population to speak of in the West, any naked dog could be called anything by anybody, pretty much.
Typo Correction: That photo is from the -1941- Westminster show, not 1940.