Everyone is going for dobs...how about your typical beginners scope...
Skywatcher SW80AR AZ4
80mm achro refractor. $479 from Bintel. With the tripod lowered to its minimum height, the eyepieces would be at the right height for a 6 year old and it would be exceptionally stable. She could even use it to spy on the neighbourhood boys to watch out for attacks by "boy germs"
Being on a tripod, there's no need for using a table as you would with tabletop mounted dobs and she wouldn't have to lean across a table to look into it. She could use the table for her astronomy books