SIRTE, Libya (AFP) - Streams of civilians fled Moamer Gaddafi's besieged home town of Sirte as battles raged Sunday for control of the fugitive strongman's bastion where the Red Cross has warned of a medical emergency. An AFP reporter at a mosque field hospital west of the city said hundreds of Sirte residents were fleeing in packed vehicles, with some people sitting on top of possessions piled high in the rear of pick-ups. "There are so many rockets now. Yesterday there were a lot of attacks. We just could not stay any longer," Ali Faraj said as a National Transitional Council fighter checked his identity and those of women and children crammed in his car. A Red Cross team, which delivered desperately needed supplies to medics in the besieged coastal city on Saturday, said the hospital had come under rocket fire as new regime forces stepped up their assault on Gaddafi diehards. Meanwhile, Smoke was seen rising on Sunday from the village in Sirte where Moamer Gaddafi was born, an AFP correspondent said, as fighters with Libya's new regime said NATO air strikes were hitting the area. Masoud Jema al-Amari, a fighter from the eastern city of Benghazi, said there had been clashes in the village of Abu Hadi, where Gaddafi was reportedly born in a Bedouin tent in 1942. "There are a few Gaddafi fighters still in there. NATO asked us to pull back" so they could launch air strikes on the town, on the southern outskirts of Sirte near the local airport, he said. Imam Mahmoud Hammoud al-Kaleni, who was seen leaving the village with his family, said fighters from Libya's new regime had told them to urgently leave the area. "The thwar (fighters) escorted us out. They came to our house and told us we had one hour to leave. They told us it was safe to leave," he said. US Senator John McCain on Sunday called for Washington to send urgent medical aid to help the thousands of people wounded in Libya. "They've got thousands and thousands of wounded. They say that they've lost 25,000 people killed, 3,000 have been maimed, 60,000 injured. That's their government figures," McCain told CBS television's "Face the Nation" programme. "We should be helping them," said the influential US lawmaker.