Noblewoman or warlike
A modern American invention likely blending the French title Marquise with the popular suffix -esha. It may also be interpreted as a feminine elaboration of Marcus, which relates to Mars, the Roman god of war.
Less common today
Marquesha isn't in the latest US Top 1000. It last peaked at #2,762 in 1993.
US births per 5-year period, 1990βpresent (SSA data).