My 5 week old is eating non-stop what do I do?

I'm feeding and my five week old is eating nonstop. If she's off the for more than half an hour she starts to scream. She's been gaining weight just fine, I've tried giving her many different types of pacifiers and she hated them all. I would pump and then give her the bottle but I'm a single mom and she's just not giving me enough time to do that. Am I missing something, is there something else I can do here?