Based on https://www.thingiverse.com/thing:2398466 with the rack fitting replaced with the one from https://www.thingiverse.com/thing:2610259. I found the original fitting which used the gimbal supplied with the unit to be both too prone to unintentional movement and also too far forward thus poorly utilizing space on the platen.
The microscope in question goes by many brand names at many shops, but it's a distinctive shape and is always 3.6 Megapixels. 2 Examples Below.
https://www.banggood.com/Mustool-G600-Digital-Portable-1-600X-3_6MP-Microscope-Continuous-Magnifier-with-4_3inch-HD-OLED-Display-p-1119592.html
http://a.co/fcX7Guq