Are you absolutely sure that it's engine oil, and not power steering fluid (looks roughly the same when it's older), or transmission fluid (should have a reddish or pinkish color when you touch it)? Because they could both be leaking up there as well. Pressurized power steering lines can shoot power steering fluid out in a manner that would allow it to go pretty much anywhere under the hood. And a leaky transmission cooler/cooler line could also send transmission fluid to where you're describing, although it's a little less likely.
If it is indeed oil, then I would suspect bad valve cover gaskets, which are a common issue to just about every car ever made at that mileage. Over time, with the constant heating and cooling of the engine, the rubber valve cover gaskets become brittle, almost like plastic, and don't expand as needed to seal up the valve covers. So oil leaks out. If they get really bad, then they can definitely have a huge leak like what you're describing. And yes, the oil coming from them can (and usually does) reach the exhaust manifold.
Here's a guide that will help you find that leak:
https://www.2carpros.com/articles/engine-is-leaking-oil
Check it out, follow the instructions, and let us know what you find. Then we'll be able to better guide you to fixing it. Good luck!
Saturday, August 15th, 2020 AT 9:55 AM
(Merged)