Unfortunately, I cannot provide you with the most popular baby names in the state of Virgin Islands in the year 1935 as the data is not available. The recording of birth names in the Virgin Islands began in the early 1900s, but the records were not consistently kept until the 1940s. However, I can provide you with some popular baby names during that time period in the United States, such as Mary, Betty, Dorothy, and Robert, John, William, which were common names during the 1930s.
Naming trends have changed over the years, and what was popular in the 1930s may not be popular now. However, some classic names like Mary, John, and William have remained popular throughout the years. It's always interesting to look back at naming trends from different time periods and see how they have evolved over time.
I\'m sorry, but as an AI language model, I don\'t have access to the specific data of the most popular baby girl names in Virgin Islands in 1935. However, I can suggest some resources where you can find this information, such as historical archives, government records, and statistical databases.
Unfortunately, I cannot provide a summary of the most popular baby boy names in Virgin Islands in 1935 as historical data on baby names is not available for the Virgin Islands.