I think that the high numbers are not solely bouncing but also a result of skipped shots.
It looks like the 4u was too much, but it is possible that the 1u reduction was a bit heavy handed, she may well need more insulin. (We usually change dose in 0.25u increments) that said, the 3u did get her to 112 at pmps(7cycles ago) getting to a lower than usual number likely triggered a bounce, and that combined with the skipped shot resulted in the higher numbers.
Since she is fairly new to blues I'd be inclined to hold on to the dose for now. Even if you were following TR I think I'd hold for at least 8 cycles. Those last blues you got are just 6 cycles following a skipped shot, as lantus is a depot insulin when you skip a shot this drains the depot and it can take 6 cycles for you to start to see the full effect of the dose.
Skipped shots, dose changes during this period messes with the depot and can result in wonky numbers. Every time you make a dose change, or skip a shot this affects the size of the depot, it can take up to 6cycles for the depot to stabilise.
Ideally as you gather enough data you'll become ready to shoot more consistently, those of us that follow TR will, for the most part shoot anything over 50 (68 on the alphatrak), and on SLGS anything over 90 (human meter).
It's something that you would build up to, and ideally have someone experienced guide you through. In the meantime though I would read the stickies on shooting and handling low numbers, forewarned is forearmed.
Any reason you are making dose changes in 1u steps? That's a big dose change, it makes it easy to miss a good dose which can result in kitty being overdosed when you are taking the dose up, or conversely see kitty run in unnecessarily high numbers because the dose is taken down too low. Most of us use syringes with 1/2 unit markings this allows us to accurately increase/decrease dose in 0.25u steps.
