Piercings for ear-rings, studs etc are not evidenced in the early medieval west.
Earrings are very rare in the Viking period. A few small twisted pieces of wire (eg a gold piece from York) have been interpreted as earrings, but this is not proven.
The only true earrings are those from much further east, generally Slavic in origin. These differ from modern earrings in that they hang at right angles to the head. Often made of very elaborate filigree work, they represent a very eastern fashion.