The Vest Pocket cameras are very easily identified by the scissor mechanism that moves the front standard away from the body. For a long time I thought my Kodak Jiffy 620 was a Vest Pocket, and I thought the name derived from some strange source I didn't understand.
So I was very surprised when I finally acquired a proper Vest Pocket: it's a pixie! It won't literally fit in a vest pocket (not without a unsightly bulge), but it's obvious where the name comes from now. Even by modern standards it's small (it's not much bigger than my Elph); by early 20th Century standards it's tiny.
This guy takes 127 film, an obsolete film size that's better known as the film for the Baby Rolleiflex (but I have a couple others that take it too). And it's an autographic, which means you can pop the back open and write a message. Mine actually has the stylus still attached; very often they are missing.
Camera manual: Orphan Cameras.com