Accept you can't control everything.
The guidelines have recently changed on low fat and children, though not for one year olds to be fair.
My son's nursery is now only providing semi-skimmed milk - because that is the only one the government is now subsidising.
Apparently the guideline has changed such that children over 2 should be given low fat, as opposed to can be given low fat, as it used to be. This is what I am told, I might come back tomorrow with a link if that is true, but am too tired now and am about to go to sleep so can't face the Food Standards Agency website right this sec.
There are a few myths about low fat and whole wheat to the extent that some parents think it is practically dangerous to give low fat or whole wheat before they are teens but its simply not the case.
Having said that, it would be wrong for them to give one year olds low fat or very low fat MILK - you might find that they are having to order low fat yogurt for the older kids and because its not the main part of the meal its fine to give to babies as an "extra" and that its easier to do so.
Bear in mind also that unless your child is dangererously underweight, its only butterfat she is missing out on. Stir some butter into her yogurt? You wouldn't, would you!
In the case of milk there is a little more Vitamins A and D in the full fat version which is why it is recommended they have full fat until age 2, that and their energy requirements.