In 1957, Reese released a single called "And That Reminds Me". After years of performing, she gained chart success with this song. It became a Top Twenty pop hit and a million-seller record. That year, Reese was voted by "Billboard", "Cashbox" and various other magazines, as "The Most Promising Singer". In 1959, Reese moved to RCA Records and released her first RCA single, called "Don't You Know?", which was adapted from Giacomo Puccini's music for "La bohème", specifically the aria "Quando m'en vo'" (Musetta's Waltz). It became her biggest hit to date, reaching the number 2 spot on the pop charts and topping the R&B charts (then called the "Hot R&B Sides") that year. It sold over one million copies, and was awarded a gold disc by the RIAA. Eventually, the song came to be widely considered the signature song of her early career. She then released a successful follow-up single called "Not One Minute More" (number 16). She remained on the "Billboard" Hot 100 chart with "And Now" (number 69). In 1960 she released "Someday (You'll Want Me to Want You)" (number 56), which was drawn from her Grammy-nominated album "Della".