Chanita is of Hebrew origin, meaning 'dedicated to God'. It's a variant spelling of Chana, which itself is derived from the word 'hanan', meaning 'grace'.
"The name Chanita saw a steady increase in popularity from 1963 onwards, peaking between 1975 and 1982 with an average of over 20 births per year during this period. However, it declined steadily after 1982, reaching its lowest point in 1994 with only 6 births recorded."