This can happen when you're at a dose that is finally having an effect. You don't have much data from earlier so we can't be sure. It *seems* that the insulin dose wasn't doing much then even with the increases to high levels. That was very likely due to the high carb food she was eating, especially the kibble. She might also have dropped low periodically and bounced (rebounded) high but, again, with no data we can't be certain.
It's stressful when you finally get some action from the insulin. It's what you want though and we can help. We'll definitely err on the side of caution. Where exactly are you in the food transition? Exactly how much dry does she have access to? What proportion of her wet food is S/O versus Fancy Feast. Sorry for all the questions but this will help
@MrWorfMen's Mom and I decide on dosing.
It's a definite sign of progress though so focus on that. I asked about the half units because you're going into a time now where you'll likely need them. Your dose changes will be no bigger than 0.25 u so you'll have to get good at eyeballing if you need to give 1.25 u for example.