Breast Feeding new born too often

Hi mommies.. I'm a first time mom. My baby is very hungry in early mornings..like I should feed her inbetween internal of ten minutes..even though I feed more than an hour..she starts putting her fingers on mouth or open her mouth for milk. My milk flow is not slow and I'm sure. Is this normal ? If I don't feed her while opening her mouth after several feeds.. she starts crying.. not even sleeping at all. Help me out mommies...