This thread is no good without pics! 
Yayyyyy!
awwwww . . .
Yay again. I hope. I don’t suppose you can talk the Nextdoor person into sending us pictures?
I’m glad you found a place for him!
Oh well done, @aurora_maire! You are a hero.
Yeah, pictures aren’t happening. 
The only time I got a good look at it was when I originally picked it up out of the pile of branches where I found it, when I got it off the engine this morning and when I grabbed it from behind a bookcase to put it in a box earlier. Hiding is its thing. I would imagine that it is hiding right now at its new home. All I know is that it is a little gray fuzzball.
I do hope that being in a permanent situation will help it calm down in the next few days. That little thing has been through too much trauma since Friday.
That reads a little differently than you probably intended. 
Glad to hear the OP’s kitten got out.
I had a kitten hide in an engine compartment once. It got wedged in tehre good and it was the devil to lay on the ground under the truck, reach up between the big metal bits and get ahold of enough very scared cat to drag it out. We tried the coaxing and food first of course but 24 hours later we figured we had to get vigorous or it was gonna dehydrate in there.
We gave it to a neighbor and it had a normal catly life after that rough start.
Hadn’t thought about that little adventure in a very long time. Would have been about 1986. And yes, once we got it out it was adorable despite the grease & grunge in its fur.
We lived on a farm that had barn cats. There were new kittens every Spring.
One year my wife drove to work and at break time someone asked her if she saw the kittens in the parking lot. Three cats had climbed into spaces on her car and held on at highway speeds.
They were all caught and made the trip home in a box inside the car.
Our girls were so happy to get their kittens back.
On a somewhat related issue, somebody dropped off a pet rabbit at my parents’ house a few years back. They didn’t make a pet out of it but my mother would put food out for it, so it settled in around their house (as I recall, it liked staying under their porch).
It didn’t go under my parents’ cars and anyone else’s. But for some reason it liked my car and would often crawl under my car when I was visiting them. I had to always check under my car when I was leaving to see if the rabbit was there and I needed to chase it out before driving away. At least it was easy to spot because it was huge.
I’ve got a good friend who drives truck for a company supplying feed to farmers. Once when he made a stop he discovered a cat clinging to the underside of the truck.
He likes cats, pays attention to them, and recognized this one as belonging on the farm he’d previously stopped at. The cat got a ride back there – very much inside the cab of the truck.
Now that l have done the sweet story, it’s time for some horrible.
I was getting gas one summer day and the smell coming from the front of the car was eye watering. I think we all know what death smells like, but this was hot death.
I opened the hood, and saw the remains of a cat on top of the engine. The cat got its face in the fan and it was torn up. I can still see the white lower jaw and teeth that were hanging on by a thread of flesh.
I drove back to the farm and parked next to the burning barrel. Used a pliers to fish the carcass out from the hoses, cables, and linkage.
I was glad the kids were still in school so they didn’t have to join me in the horror fest.
Sorry.
Darwin’s a harsh Master.
Always has been; always will be.
Shame you personally got to “help” Darwin along with that one.