Hey Jake,
Checked out that site. Looks pretty thorough. I didn't find the dotted VIN they're referring to (on the engine) but there is, on the side, stamped this:
QA**
GX140-2502702
So, according to the ereplacement site, I'm presuming that the QA in the stamp is the type (entering GX140 pulls up over 8 different types of that engine) and the number is the S/N. Sound about right?
The part #'s for the parts I'm after appear the same from type to type so it probably doesn't matter much. Looks like I'm into it for $35 shipped to my Dad ($77 shipped directly to me - ouch!), but it'll probably be a few weeks before I get them.