Barbara you are doing great, and I think your instincts are telling you what to do and you are doing it, so YAY! You may not feel like it, but I think you have a much better handle on knowing what to do than you realize. If you figure that we collectively would have confused the h*eck out of *anyone* yesterday

and not only did you digest all of that and decide what to do, but you are reacting quickly to what you are seeing in the data, and it seems to me your instincts are serving you well.
The benefit of having tried out the 0.6 is that now you know that wasn't the answer, and so can raise with confidence. Normally with dose increases I recommend people wait 3-4 cycles to allow for the build-up/overlap between doses, but there *are* other strategies! (Like you need MORE information and choices right now, LOL ohmygod_smile )
So one thing you can do is raise the dose more quickly, but then as soon as you get good results, pull it back immediately (this is NOT recommended for anyone who is really new here, or if you don't have any particular reason to need to be a little more aggressive with dosing). So for instance instead of holding 1u for 4 cycles and then deciding on cycle 4 if it is giving you a good enough nadir or not, you could shoot say 1.2 for a shot or two, and then pull back to 1u and see where you are. A little extra oomph to kind of get things going, but then pulling back so you don't get the full effect of overlap on 1.2 when you aren't sure what the overlap might give you on 1u.
Lots of variations on that theme. The important thing I think is monitoring - if you can't monitor you shoot on the safe side, if you are there to monitor you can try a higher dose more quickly that you might otherwise. If you did something like that and got greens, then I would pull back a hair so you don't get increased momentum off that.
Anyhow, just throwing all that out so you won't feel scared of raising the dose more if she needs it, and won't feel like you have to stick with a dose a certain number of cycles if you don't like her numbers or if she starts acting like something is off. I wouldn't panic and raise every cycle, but I think it may help you to know you have tools in your arsenal, like shooting a little more on a cycle when you can monitor, and knowing then you can back off that if it actually works.
Given how much better her PS was this morning vs. last night on the 1u, I am hopeful that with 2 or 3 cycles on 1u you will see her PSs coming down nicely. It looks like last time she had an "episode" or whatever it is of needing more insulin, you got results around 1u to 1.2u, so hopefully that will be her range again, and you will see some better numbers soon.