Baby both sleepy and hungry. That case?

My baby is 2 months 25 days of age. Since last few days she start crying due to sleep as I can notice her eyes closed and yawning but she is not able to sleep and continues crying. She feels hunger also at the same time,I breastfeed her every 2-3 hrs and on demand. Her weight is normal. I keep the environment calm and try to sooth her but she continues crying. In this way she is not able to sleep also and when I try to breastfeed also, she doesn't take it at that time. After nearly 1 hr of crying she will fall asleep for 15-20 min then she feeds and seems fine after that. What to do in that case? Earlier whatever may be the reason of cry she never refused to breastfeed. But these days she when she is sleepy she doesn't take the feed.