THEME = double plays: original & answer

This 3rd double play entry features an original tune followed by a song written in response.

#1 (the original)
Neil Sedaka wrote this 1958 tune with Howard Greenfield. Released in 1959, this song peaked at #9 on the Billboard Hot 100; it claimed #1 in Italy for 4 weeks. While in high school, Sedaka had dated Carole King, known then as Carol Klein….

#2 (the answer)
Since she inspired Sedaka’s 1st hit, Carole King responded with this song. This song was released the same year (1959) as a non-album single; while it received some airplay, it did not notch on any charts.
https://www.youtube.com/watch?v=WWAyoC5J_qo