The god Pan had goat legs.
Pan (Faunus in Roman)
You are referring to Faunus, whose Greek counterpart was Pan. He is the archetype from which we get Satyrs.
No. A goat cannot become a God, but can be godlike.
It was named after a roman god named "The SATYR" A goat-legged half-man with horns and pointed ears.
The Greek god of nature, and the wild was Pan. He was a creature known as a satyr. His Roman counterpart was the god Faunus.
Pan is one of the most famous Satyrs. He was god of shepherds, flocks, mountains, hunting and music.
The Greek god Pan
She had a goat skin
Pan
A half-goat deity is a mythical being that is part human and part goat in its physical characteristics. One well-known example is the Greek god Pan, who is depicted with the upper body of a human and the lower body of a goat. These deities often represent nature, fertility, and the wild aspects of the natural world.
You're thinking of Faunus, but he wasn't a shepherd. He was the Roman god of forests, plains and fields. He was conflated with the Greek god of shepherds, Pan, who was often depicted with those same goat-like features (though he did not originally have them).
The Roman God Neptune is the God of the sea.