Likely a modern variant of Levi or Livia
Laveya is a contemporary American name with ambiguous roots. It is often interpreted as a phonetic elaboration of the Hebrew name Levi, meaning 'joined' or 'attached', or a creative variation of the Latin name Livia, meaning 'blue' or 'envious'. Its usage is primarily modern and stylistic rather than traditional.
Less common today
Laveya isn't in the latest US Top 1000. It last peaked at #10,079 in 2008.
US births per 5-year period, 1990βpresent (SSA data).