Star Swirl was a designation applied to a specific coiffure. This particular hairstyle was famously sported by Princess Leia Organa.
The phrase "Star Swirl" originated from the packaging and accompanying directions for Kenner's oversized Leia action figure; this toy came with a brush and comb, inviting kids to experiment with different hairdos. The packaging also identifies four alternative hairstyles: Star Puffs (the iconic hairstyle seen in Star Wars: Episode IV A New Hope), Star Burst, Lunar Loops, and Sun Sweep.