While reading about the Meyn (a surname from the maternal side of the family) municipality in Schleswig, I noted that the Danish equivalent/predecessor of the surname Meyn is Meden. A quick scan online presented the results that the surname Meden is more numerous in Sweden than in Denmark and the original spelling of the surname is Medèn.

While I am certain that the surname Meyn originated from the Irish name Ó Miadhacháin (written today in English as Meighan/Meehan,) I have yet to find direct evidence of how the Irish Meighan/Meehan lineages connects with the Swedish Medèn lineage.

There could well be multiple spelling changes that occurred while the  Irish surname Meehan or its original  spoken name Ó Miadhacháin, most probably traveled to (the lands known today as) Scotland and then Norway before being derived as the surname Medèn which is found in Sweden today.