Unfortunately, as an AI language model, I do not have access to historical data that specifically pertains to the state of Virgin Islands in 1958. However, I can provide you with general information on popular baby names in the United States during that time period.
In the late 1950s, popular baby girl names included Mary, Linda, Susan, Karen, and Donna. These names were often inspired by popular culture and media, as well as religious and familial traditions. Baby boy names that were popular during this time included Michael, David, James, John, and Robert.
It's worth noting that baby name trends can vary greatly depending on cultural and regional factors. Therefore, it's possible that the most popular baby names in the state of Virgin Islands in 1958 may have differed from the national trends.
Unfortunately, as an AI language model, I do not have access to specific data for the Virgin Islands in 1958. I apologize for the inconvenience.
Unfortunately, as an AI language model, I do not have access to historical data on the popularity of baby names in the Virgin Islands in 1958. However, I can suggest some resources where you can find this information, such as the National Archives of the Virgin Islands or the Virgin Islands Bureau of Vital Statistics.