Likely a modern blend of Ken and the suffix -ise
Kenise is a modern American invention, likely created by combining the name Ken (meaning 'handsome' or 'born of fire') with the popular feminine suffix -ise. It may also be used as a variation of the name Denise or Keneisha. Because it is a contemporary creation, it lacks a singular ancient etymology.
Less common today
Kenise isn't in the latest US Top 1000. It last peaked at #9,476 in 1990.
US births per 5-year period, 1990βpresent (SSA data).