The poor Kitty,.Rising bg's in response to rising doses certainly rings my rebound bell loudly amongst many concerns about the speed at which that dose was reached,
I personally would consider reducing current dose by half, test for ketones and get a curve after about 36 hours on the new dose, testing as much as possible prior to that.
You should see the levels come down as a response this.
If that is the case, a further reduction to a "start over" dose like 1 unit, may be the way to go, but by cutting dose in half to start, you don't have to start over, if the levels do not come because perhaps insulin resistance is now happening, and put kitty further at risk of ketones etc.
Does that make sense?
Please come back and let us know what happens and a spread sheet would be a great help if she can do one.