We have a pair of the delta/peerless one-handle type faucets in a bathroom. They're the ones where you remove the handle after loosening the hex-key worm screw, then the metal bonnet unscrews (flats, large crescent wrench) and underneath there's a plastic unit with a shield-shaped (not rectangular) cutout for the mini lever, and it's got a couple seals on the bottom when you pop it out.
Underneath this, there's the typical delta ball/lever and under that, 2x rubber seats on metal springs, one each for the hot and cold water coming into the faucet body.
This one's dripping from the faucet, not from the bonnet so it's not a matter of bad seals for the plastic unit holding the ball in.
I have replaced the seals in the past and stopped the dripping, for a couple years at a time. For some reason, this time this doesn't quite get the job done. There's only a tiny spot, off-center, counterclockwise, that completely shuts off the water. Anywhere else, such as straight down, where it's supposed to be, and you get a lot of drips or a small stream.
Replaced the seals last week. Very hard to get it to stop dripping -- only I could find the magic spot. Yesterday, I have replaced the seals yet again, this time I used some fine steel wool to polish the spherical inside of the ball/mixing chamber to get rid of anything in there that might have been causing a problem -- but it was already smooth and clean as far as I could tell. Cleaned up the threads to remove accumulated soap scum, put in new seals, re-assembled, and it appeared to turn off nicely with the handle straight down, but only 24 hours later I'm back to dripping/stream unless it's exactly offset counterclockwise a bit.
Neither of these faucets have the plastic "adjustment ring" that I have seen with some rebuild kits, the one that takes a spanner to adjust, though both bonnets do have threads in the top/center that would appear to take such a thing. They've never had them, AFAIK.
The ball seems perfect: smooth, undented, no obvious wear.
I'm stumped as to why the usual seal-swap didn't get the job done this time around. The box of seals I have is stored dry and cool, and they all appear just fine.