Tuttu:
IIRC, dwarves have rocky spaceships and elves have forest-ish spaceship and I don't remember for the other race.
In Spelljammer, dwarves pilot mountain keeps through the flogiston, elves pilot graceful butterfly like ships, humans and most others pilot wooden ships (though goblins and other such liked to make them look like turtles, or other types of creatures), neogi piloted spider like ships, and Illitihid piloted living ships (giant nautilus, squid ships, etc).
As far as 'elf forest spaceship', google is no help.