Noble, three, or a modern combination
Latresha is a modern American name likely created by combining the popular prefix 'La-' with the name Tresha or Tricia. It is often associated with the Latin 'patricia', meaning noble, or the Greek 'trias', referring to the number three.
Less common today
Latresha isn't in the latest US Top 1000. It last peaked at #6,285 in 1990.
US births per 5-year period, 1990βpresent (SSA data).