Combination of Mary and Lisha, or a modern variant.
Marlisha is a modern American blended name, likely created by combining the prefix Mar- (from Mary or Margaret) with the suffix -lisha (from Felicia or Alisha). It follows the 20th-century trend of rhythmic, multi-syllabic inventions within African American naming traditions. Because it is a creative coinage, it does not have a single ancient etymology but carries the legacy of its component parts.
Less common today
Marlisha isn't in the latest US Top 1000. It last peaked at #6,458 in 1993.
US births per 5-year period, 1990βpresent (SSA data).