Rhonna is of Hebrew origin and means "song." It is a variant spelling of the more popular name, Ronnie. The name gained popularity in the United States during the mid-20th century but has since declined.
"The name Rhonna appears to have been quite popular between the mid-40s and late 60s, with a peak of 15 births in 1955. However, its popularity declined significantly thereafter, with no more than 8 births per year from 1970 onwards, including three years (1971, 1972, and 1980) where it was given to just five babies each year."