Complex sentence: She established herself as a major soul singer recording "The Time" (US R&B Top 30) and "The Bells" (US R&B Top 20), both in 1959, and "Nobody Cares" (US R&B Top 20) in 1961.
Split into simpler sentences: She established herself as a major soul singer with two hits in 1959: "The Time" (US R&B Top 30) and "The Bells" (US R&B Top 20). She followed up with the hit "Nobody Cares" (US R&B Top 20) in 1961.