From Britain or Brittany
A rare modern blend or variant of Brittany, referring to a person from the region of Brittany in France or from Britain. It likely emerged as a creative spelling of the popular 1980s and 90s name Brittany, influenced by the name Brett.
Less common today
Brettany isn't in the latest US Top 1000. It last peaked at #7,231 in 1990.
US births per 5-year period, 1990βpresent (SSA data).