When you were only doing one shot a day, the one unit lasted a long time. I think the 116 and the 96 were an indication that the dose was too high - it lasted longer than 12 hours and gave you a preshot that was too low to shoot. But then the insulin wore out and by the next morning, you had a high preshot number.
I agree with Sue on this. It looks like the 1u dose was too high, and it gave you nighttime numbers that would have been too low to shoot. We usually say don't shoot any number under 200 unless you have collected sufficient data to know that the dose won't be too much for that low number.
If your vet had advised that you shoot twice a day, but had said to drop the dose to .5u am and .5u pm, you would have been giving him the same amount of insulin per day, but it would have been working for him around the clock instead of just during the first 12 hours.
The high numbers that you were seeing in the morning when you were only shooting once per day were due to the fact that the insulin wore off at some point, then there was no insulin in his body to keep the numbers under control. They weren't due to not enough insulin, but were due to the insulin being given all at one time in a 24 hour period.
Last night, the numbers look good in the middle of the cycle. But, kitty may have felt that they were "low" and his body reacted to the low numbers by dumping "sugar" into his bloodstream to preserve itself. We call that "bouncing". What it usually causes is a high number for your next test, and higher numbers for at least one or two more cycles. Today's numbers look like that is what happened.
My suggestion would be to lower the dose to .75 for tomorrow and the next day to see if it helps bring his numbers down. I know that sounds illogical, but sometimes too much insulin has the same effect as not enough insulin, and it causes high numbers that would make you think he needs more insulin and not less. You went from 1u total per day, to 2u total per day, all at the same time. It could be the "right dose" is someplace in between those two amounts.
See what others think...
Carl