The statue you may be thinking about is known as 'Winged Victory' and is a sculpture of Nike the goddess of victory.
Winged Victory
Hermes, the greek god, who was also an olympian wore winged sandles
Actually, he himself was not winged, it was his shoes, but the god you're referring to is Hermes.
Hermes in Greek Mythology, Mercury in Roman Mythology.
no
eros
Hermes
because he was the greek messanger and had winged boots that fly
the statue of the winged victory of samothrace is headless maybe broken by earthquake or other nature disasters, war, or maybe because the statue were abandoned too long. the head probably smashed into hundred of pieces and scattered, or steal by someone who found it (if the head still in good condition, not broken, it will be a good news for everyone)
Yes, he had the winged shoes, and winged cap. In Rome he was named Mercury
his symbol is his winged hat, winged shoes and herdsman's staff
Rā no yokushinryū - Ra the Winged God Dragon.