First and foremost, toy photography is photography. The term "toy photography" only came to use after the internet age, within the past 15 years or so - primarily through social media like flickr. But toy photography has existed since at least 1898 (123 years ago), and can be traced back even to the invention of photography, all falling instead into the categories I'll outline here.
Kodak and the Rise of Amateur Toy Photography
Hobby Toy Photography can find it's roots in Kodak's 1929 Picture Contest. From representations of boxing rings, lounging dolls and scenic expanses, toy photography spread as cameras came into the hands of the masses. The only place these images are published on the web.