Of the sea or of Mary
Demarie is a modern American coinage, likely blending the French prefix 'De' with the classic name Marie. It can be interpreted as 'of the sea' via the Latin root 'mare' or as a variation of the name Mary, meaning 'bitter' or 'beloved'.
Less common today
Demarie isn't in the latest US Top 1000. It last peaked at #8,298 in 2003.
US births per 5-year period, 1990βpresent (SSA data).