Thanks for updating us FoMoCo1. I know there is at least one other McCulloch chainsaw that has the automatic oiler where he said and adjusted in that way, but it was a 110, not a Wildcat. It sounds as if the person posting just assumed all McCullochs were the same. If you've dismantled the machine and haven't found either an automatic oiler or the place where one would go, there can't be an automatic oiler. They tend to have a little piston pump which is combined with the manual oil pump, and it is operated by crankcase pressure pulsations, so there is no mechanism to drive it.
I noticed in the list of contents the guy selling the photocopied parts list has supplied, there is an item for the chain oiler, but it could easily be the manual pump, not an automatic one.
Because the Wildcat is a small saw I guess it could be reasonably workable without an automatic oiler, but at 38 cc it is not all that small really. I won't say it is impossible, but I'd be a bit surprised. On the other hand, it isn't rare for me to be surprised. McCulloch did make the worst chainsaw I've ever seen (a baby electric one with a built in "sharpener" that simply pressed a grinding stone against the top of the chain while it was running).