Rose Bud is a town in White County, Arkansas, in the United States. Despite its small population, Rose Bud is the fourth largest town in White County by area behind Beebe and Searcy. The demographics for the area are, in diminishing order, Caucasian, Hispanic, African-American and Asian. By a small margin, a majority of the population is between the …Rose Bud is a town in White County, Arkansas, in the United States. Despite its small population, Rose Bud is the fourth largest town in White County by area behind Beebe and Searcy. The demographics for the area are, in diminishing order, Caucasian, Hispanic, African-American and Asian. By a small margin, a majority of the population is between the age of 45 and 64. Rose Bud also has their own school district with Pre-K through 12th grade.