Very classic and endearing.
Beatrice on the other hand is just dated. A name fitted for a mutually disliked teacher or headmistress everyone wishes would retire already, or most everyone at least. She is overly strict and rarely expresses genuine happiness. Most if the time her face is devoid of any positive emotions. She's miss Trunchbull but behaves in a more civilized, less grotesque manner.
Don't ask me where my mind came up with that specific imagery. All I know is that it has stuck. In any case, I just don't picture it on a younger individual.
Alice I can see fitting on every age.