From Hadria; dark one
Adrein is a rare variant of Adrian, which is derived from the Latin name Hadrianus. It originally denoted someone from the town of Hadria in northern Italy, a name that likely shares its roots with the Adriatic Sea. While the spelling with an 'e' is uncommon, it retains the sophisticated, ancient Roman heritage of its parent name.
Less common today
Adrein isn't in the latest US Top 1000. It last peaked at #8,265 in 1992.
US births per 5-year period, 1990βpresent (SSA data).