Francesca Marina, named after St. Francis and the Italian navy, was 3.37 kilos (7 pounds, 7 ounces) when she was delivered aboard the Bettica naval vessel in the Mediterranean a week ago. Once ashore, she suffered from seizures and was put in intensive care.

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A week on, both Stephanie Samuel, the 24-year-old Nigerian mother, and Francesca Marina have recovered. Doctors at the Sicilian hospital said they would probably be transferred to an immigration centre for families with small children in a few days time.

The story of the migrant baby born aboard a navy ship captured international media attention at the end of one of the busiest weekends for sea crossings from Libya to Europe this year, in which about 6,800 were rescued and dozens are said to have drowned.

Samuel worked for two years in Tripoli as a housemaid to save money to pay smugglers for the trip, but then the boat she set off in with about 90 others stalled after only three hours at sea.

By the time they were picked up by the Bettica off the Libyan coast seven hours later, she was unconscious after suffering epileptic seizures and had gone into labour.

"I didn't expect the baby, you know, but she just like, she just came," Samuel said. "I just wanted to leave Libya. Italy is better thanLibya and Nigeria is the worst."

About her daughter, she said: "God decides, not me ... but I believe she will have a more good future in Europe."

So far this year more than 30,000 people have reached Italy by sea from North Africa, mostly Libya. More than 170,000 came last year. The Interior Ministry has said 200,000 might make it to Italy's shores in 2015.

While many are political refugees like Syrians, fleeing civil war, or Eritreans, escaping forced military conscription, others like Samuel are economic migrants in search of a better life.

She said her husband, who is still working in Libya, was ready to risk the sea crossing to be with his daughter and wife as soon as he could afford to pay smugglers who demand up to $1,500 for passage on an overcrowded, rickety boat