All I can do is sympathize with you really.  I have a house here that I can't figure out either.  I can get pretty close, but like you say, just not quite totally there.  What kind of a pattern is it?  It doesn't sound like you're playing a super tight line, but tighter than what most house patterns require.  I don't have the kind of backends that would allow me to play that line, or the kind of length to get a stronger ball down the lane.  I could do it with practice, probably, but it'd never be a preferred line, or even a backup line.  Wood or synthetic house?  Length of pattern?  I'm not going to try suggesting anything, cause if I knew how to attack a bland pattern like that, I'd be doing it, and I also don't want to insult your intelligence, as I'm sure you're more experienced than I am by far.
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HAH!  I don't know ANYBODY now!

Being in adult leagues teaches you many things.  

1.  You're not on top anymore, but there are a lot more people that suck worse than you do now.  

2.  The myth about the youths having an easier shot is NOT TRUE.  I'd have an entire ring collection if it was.  

3.  Drunk adults are a lot funnier than drunk youths.

Well, you guys have great advice. However, there really isn't anyone in the league I can line up off of... Sounds cocky, I know, but there's one decent bowler in the league (and according to averages, it's not me) - and he's a lefty.
This is a league sponsored by our local radio station. Lots of first timers, and a ton of plastic house balls. That may actually be part of my problem, but I don't think that answers ALL of it.

Oh - Constantine - just so you know - when the shot goes away, it goes away in one shot. Goes from DEAD flush to either through the nose or washout...

When I run across a condition like that (rarely), I go as straight as possible. I mean, either pointing the ball off the right gutter or playing straight up 15 with as little hand as possible. Sure, you're not gonna shoot huge, but i'd take flat ten after flat ten over jumping every frame. JMO

I've had nights like that, but I find 90% of the time it's not really the lane condition that's changing so fast - it's something about me - usually I'm rushing my feet and getting out of time or I'm starting to bend the elbow or make some other fundamental mistake.

Best advice I know if you are absolutely sure it isn't you is to watch the people who ARE scoring and try to move your feet and target so you can get to the same breakpoint they're using.

Mumzie said " I found a great shot from 24-18 at the arrows out to about 12 breakpoint. "

I am going to assume that since your breakpoint was inside of 10 that outside of 10 the ball reads too early and too strong.

Mumzie said "then it went away. The ball started skidding. So, I thought I was hitting carrydown. Then I moved parallel right, 3 boards"

Two things to try here.
#1 Only move 1&1. You had a good productive line that just carried down a little and made the ball late. A 1&1 will simply step the ball away from the pocket an extra board giving it just a little more room to turn. Plus keep in mind that carry down is not oil applied with a wide brush to the lane but a thin line applied by the ball (think of a Sharpie pen). If that line was put there by a flaring ball then the line looks like Morse Code. Meaning that it will be about 4 inches long then a space of maybe 1 foot then another 4 inch long line. It will go like this all the way through the pin deck. It does not take much to step outside that thin line.

The mistake you are making is moving too much just to get outside a thin line of oil. When you made the 3&3 move that stepped the ball outside the river of oil that runs from 10 to 10. Yes the ball may hold for a few shots but then the oil will be depleted pretty quickly and the ball will go back to reading too strong like it did to start with. That is why you had your breakpoint inside of 10 remember?

If a 1&1 is not enough then try 1 more with the feet or a 2 with the feet and 1 with the eyes. This keeps the ball inside of 10 at the break point but squares you up just a little so the ball can make the turn to the pocket.
Just be ready to start stepping back as soon as you see the 4 pin start to fall last. You will most likely start to deplete enough oil that the ball will start to hook again.

#2 Option is to make the ball turn the corner just a little stronger and you may not have to move your feet at all or just the 1 & 1. There are several ways to do this depending on what you are best at.

#1 Curl your little finger if it is not already. (If anyone feels pain in the back of the hand or fingers don't do this) Sometimes curling will be enough to get the ball back striking. This not only makes for a little stronger release but for most people will step the ball out an extra board at the breakpoint causing it to go around the carry down.
#2 Slow the ball a little. The only difference between the lane when you started and the lane now is just a slight amount of oil or lubricant. The extra lubricant keeps the ball from slowing down enough to start hooking in time to get to the pocket....so just throw the ball a little slower. I am only talking about a small change here. So maybe drop the ball in the stance 1 or 2 inches. (move up on the approach by the same amount to keep your timing the same.

#3 Throw just a little more axis rotation. This will not really make the ball hook sooner but will hook stronger when it does start to hook. I like this one the least of the others but it can work if you are good at adding just 3 or 4 degrees of axis rotation.

With all of these ideas you must be ready to start undoing them. You will most likely start depleting enough oil that the ball will start reading early again. Watch that 4 pin. If it starts falling last back off a notch.

I hope this helps and bowl great!!
Ron Clifton