Find it.
Exactly what others said..
That is the only way you will ever get it. She never leaves the home.. She eats, sleeps, and pops out babies.. that's it.
We learned all about them in the third grade. I know that the queen has two ant 'guards' that are male, and also have wings.. When she is ready to die.. she kills them.
But true, the only way you will get to her, is to find her yourself.. see where the ants are going after the find food.
Hope she's not behind walls!