You are right! She was also the daughter of Princess Alice and Prince Andrew of Greece.
Louise
Let's see:
Alice--Victoria--Alice--Cecile
Alice--Ernst--George Donatus
Yes, she and George Donatus were were first cousins once removed (he being her mother's 1st cousins). He wasn't her uncle. Didn't all the Battenberg/Greek daughters marry relatives of some degree or not? Except maybe Theodora and the Prince of Baden. Sophie even did it twice (and to cousins themselves!
QV--Alice--Victoria--Alice--Sophie
QV--Vicky--Mossy--Christopher (1)
QV--Vicky--William--Victoria Louise--George William (2)
QV--Alice--Victoria--Alice--Margherita
QV--Alfred--Alexandra--Gottfried of Hohenlohe-Langenberg
Forgive me if I've switched Theodora and Margherita, I sometimes have trouble keeping their marriages straight and I'm doing this off the top of my head.