From Britain or Brittany
A modern phonetic spelling of Brittany, originally referring to the Celtic people of Britain who settled in the Brittany region of France. It gained massive popularity in the United States during the 1980s and 1990s, though this specific spelling remains a rare variation.
Less common today
Brittnie isn't in the latest US Top 1000. It last peaked at #846 in 1990.
US births per 5-year period, 1990βpresent (SSA data).