Some followers always equip to their (not available in inventory) default equipment after a time. They usually equip the good stuff you have given them if you remove any item at all from their inventories. Kharjo is terrible for this, for example.
If she keeps spawning them, though, yep, sounds like a glitch.
[Perhaps a dodgy script in the same vein as the replicating Museum keys?]
Except that her default armor is Banded Iron and her armor skill is Heavy, so she shouldn't be wearing Studded at all since it's both Light-class and of inferior quality to Banded Iron.
It sounds like the OP ran into a glitch with a script that strips armor; there is a known issue where such scripts sometimes take default equipment and them do not return it later, and if this happens the follower will use whatever low-end armor they receive that is closest to their normal default as their new default, even if it's not the right class.