Being raised by Moogles would probably still be incredibly rare, but it's also something feasible (although I'd image they would try to get that child returned to people ASAP because Moogles in FFXIV tend to be pretty secretive and some are downright cowardly).
If we're assuming your character would be old enough to be adventuring/semi-independent, (let's say 13 or older), then we'd likely need to stick with the Moogles over in the Black shroud (red poms). Maybe your character's parents lived far within the forest and met an untimely demise? Or perhaps they abandoned your character in the forest, assuming a beast would be the end of things, only to be rescued by a curious moogle.
Things to take into consideration there are that your character would likely not have all of the skills a typical moogle would have, such as flying and their concealment magic. (Moogles are excellent at hiding. So good that people cannot dispel it.)
Perhaps they took care of your character until they felt it would be safe to bring them to Gridania or another settlement? Moogles are shown talking to the Padjals fairly often, so I would imagine a child could be handed off in that way, and would then likely be raised by the Conjurer's guild or something? (Note: that doesn't necessarily mean becoming a conjurer, just being taken care of by them. You'd still have plenty of room for choices.)
If we're assuming your character would be old enough to be adventuring/semi-independent, (let's say 13 or older), then we'd likely need to stick with the Moogles over in the Black shroud (red poms). Maybe your character's parents lived far within the forest and met an untimely demise? Or perhaps they abandoned your character in the forest, assuming a beast would be the end of things, only to be rescued by a curious moogle.
Things to take into consideration there are that your character would likely not have all of the skills a typical moogle would have, such as flying and their concealment magic. (Moogles are excellent at hiding. So good that people cannot dispel it.)
Perhaps they took care of your character until they felt it would be safe to bring them to Gridania or another settlement? Moogles are shown talking to the Padjals fairly often, so I would imagine a child could be handed off in that way, and would then likely be raised by the Conjurer's guild or something? (Note: that doesn't necessarily mean becoming a conjurer, just being taken care of by them. You'd still have plenty of room for choices.)