'How can we teach children to be adults unless we allow them freedom'
She's 10, not friggin 18 lol!
IMO you were wrong and slightly irresponsible to leave her unsupervised to cook a hot meal, I mean, we're not talking cheese sandwiches here are we?
I think it's fab that your dd is so into cooking, and even better that she seems so enthusiastic about doing it. Good for you to encourage her. However, I still would not leave any child of the age of 10 to prepare and cook a hot meal, where there is a cooker, knives etc involved, when there is not an adult to supervise. Regardless of how well they knew the neighbours. It's not the neighbours responsibilty to take care of your dd if somehting had happened, it's yours.
Yes it's important to let them get on with things and to be independant. But she is only 10 years old and she is a child. She should be supervised in a kitchen if cooking.
YABU