Time for a break down!
Physical AP/SS: Jeff is 9-C apposed to TH's 10-B. Jeff's Advantage
Weapon AP/SS: So Hook has a 9-C+ Hook, apposed to JTK's 9-C knife. Pretty simple. The Hook's Advantage
Lifting Strength: Jeff is just a bit higher with Above Average vs Average. Jeff's Advantage
Durability: Jeff takes it handily, being Peak Human compared to 10-B. Jeff's Advantage
Range: Both have knives (though the hook's knife doesn't have a specified length). It shouldn't be that big of a factor. Tie
Abilities: At stealth and enhanced senses will not be useful in this fight, since they are right next to each other, they will be dismissed. Both are fairly skilled with their blades, Jeff possibly more so, but it is unknown. The Hook's High Pain Resistance will likely somewhat make up for his massive lack of durability in this fight, allowing him to stay in the fight longer than he has any right to. Since this is likely the best ability between them, Hook has this. The Hook's Advantage
Intelligence: Surprisingly, aside from this looking cut and dry (Jeff having above average, Hook having possibly higher than average), it is rather close theoretically. The Hook was able to escape prison and evade capture, which would have to likely take at least some brain power. However, Jeff was able to stalk a stalker, someone who was likely above average in their own right. Memorized times, when he would murder a girl, etc just by watching him. Jeff's Advantage
So seems like Jeff has the advantages, but then again all TH needs is one good knock with his hook to likely knockout or at least knock him off balance so he can finish the edge lord. He also could probable take a few hits or non-lethal stabs do to his pain resistance. This is when Jeff's nature comes to bite him in the ass. He likes to toy with his prey. He doesn't go straight for the kill. He will not go for a killing blow right of the bat. He wants his opponent to feel pain and to suffer. Hook will not be in shock of being stabbed, due to PT, and will just knock Jeff the F out with possibly a single swing of his hook.
Here is our winner: the classic campfire story, the bogeyman of lovers' lanes, the original slasher, THE HOOK!