I can't help you with the specifics of T1 in Children. But there are 3 fundamentals that should reassure you:
It is normal for Specialists (particularly with children) to start patients on low doses and steadily increase. This is to keep them safe.
There is no such thing as a correct dose for a certain weight. Each person - child or adult - needs what they need when it comes to insulin doses.
Diabetes is "Complicated, Confusing and Contradictory" [from Gary Scheiner's Book 'Think Like a Pancreas', which I found helpful]. Diabetes is also fickle, just as you think you've got the measure of helping your daughter manage her D, the rules change! Despite this seemingly gloomy observation from me there is a huge and reassuring light and warmth at the end of this tunnel. It does take time to get the hang of things.
Welcome to the Forum
@Clyde G and I am really sorry to read about your daughter's introduction to this world of Diabetes. As you have already reflected she is not alone and on this forum neither are you. You have found somewhere that has a huge breadth of experience of living with diabetes and is happy to share that experience - without trying to dictate what is right or wrong. We all know that each one of us is different in what we need and how our metabolisms can behave amazingly differently - without the fickleness of diabetes itself.
It is natural for anyone to go in search of "better answers" and the Internet is full of self-defined experts who will tell you that there is an optimum insulin dose for a child at a certain weight. That criterion might provide a start point for a preliminary treatment path, but there are so many variables in the mix that it can't be a rule. And the energy of children can be so varied from day to day that each day can create different natural responses to the insulin they are taking, never mind the diets they enjoy or the growth spurts they experience from month to month.
One book that is commonly considered particularly helpful is Ragner Hanas's "Type 1 Diabetes in Children Adolescents and Young People"; I'm 74 and found it great for me 4 years ago, so I think the title undersells itself.
Could I ask how old is your daughter? I am certain that others will be along soon, including parents of children with T1 as well as those who were diagnosed as a child. Meanwhile you might find the Parents Section of this Forum helpful.