Source of John Deere line of children bicycle tires? My son's bike is 12 inch children bike with the John Deere tractor theme to it.  Aside from the paint, this line of kids bikes have some rather beefy, large square knobby tires.  As with any children's bike, the back tire needs replaced (due to rider and coaster brake).  I'm having trouble sourcing these tires and the only information the side wall is given me is "Yida".  Here is a amazon link to the 16 inch version of this bike which has the same kind of tires on it:

http://www.amazon.com/ERTL-John-Deere-Heavy-Bicycle/dp/B0007WOHZA/ref=sr_1_3?ie=UTF8&amp;qid=1380045299&amp;sr=8-3&amp;keywords=16+inch+john+deere+bike

While I replaced the tires with standard off the shelf tires, I'm looking for some more information about the company and or the tire itself.
Very inexpensive rebranded bike with very inexpensive tires which you can't source individually. Nothing wrong with that given that it's a child's bike, but that is the situation. Your chances of finding that exact tire are slim, and there's no really compelling reason for you to hunt it down anyway. 

The product you can get off the shelf is going to be at least as good and likely better. There's no issue with mixing and matching different tread patterns front and rear beyond aesthetics.