Joy, gladness; combination of prefix La- and Tasha.
Lateasha is a modern American creation, likely formed by adding the popular 'La-' prefix to Tasha, a diminutive of Natasha. Natasha itself is the Russian form of Natalia, which refers to the 'birthday of the Lord' or Christmas. Consequently, the name carries an underlying association with joy and celebration.
Less common today
Lateasha isn't in the latest US Top 1000. It last peaked at #2,823 in 1991.
US births per 5-year period, 1990–present (SSA data).
