Jewel of the North, formerly know as vincegetorix
To be fair, the Feywild itself only became a prominent planar feature of D&D recently in 4e an 5e.
So deciding which creatures originate from there can still be in flux.
Ultimately, it depends on the setting that players decide to use.
In my FR, goblins originated from the Feywild. They were the dark reflection of gnomes: the affinity for woodland creatures forest gnomes had, the goblins used it to befriend rats and wargs, the affinity for prank and contraptions the rock gnomes had, the goblins used to create devious traps and concoction. They were expelled from the Feywild after the Goblin King threw rampaged Queen Tiatania's palace while she was out. So now they belong to the prime, with only a hint of feyblood in their veins (Fey Ancestry trait).