Based on statistical data from the United States, it appears that the name Doraliz experienced a brief period of popularity during the year 1984. During this year, there were five recorded births with the name Doraliz. However, it is important to note that overall, the name Doraliz has not been extremely common in the U.S., as the total number of births with this name since its introduction remains at just five. This indicates that while there was a small group of parents who chose this unique name for their daughters in 1984, it did not become widely adopted or popular over time.