The coastguard rescued the rest of the migrants, some of whom were in the sea.
The baby was one of thousands of refugees - mostly fleeing war-torn Syria, Afghanistan and Iraq - who attempt the short but perilous crossing from the Turkish coast to Greek islands by boat, often in rough seas.
Almost 400,000 people have arrived in Greece this year, the U.N. refugee agency UNHCR has said, overwhelming the crisis-stricken government`s ability to cope. Most have rapidly headed north towards Germany.
The coastguard has rescued a total of 542 migrants and refugees off the Aegean islands of Lesbos, Chios, Samos, Farmakonisi and Agathonisi since early on Thursday.
Europe`s migration commissioner, Dimitris Avramopoulos, and Luxembourg Foreign Affairs Minister Jean Asselborn are expected in Athens on Friday and will give a joint news conference on the refugee crisis on Saturday.
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