In the UK
"Only Sixteen" by Craig Douglas
The number on song on the Billboard Charts on September 25, 1951 was "Because of You" by Tony Bennett.
"Sugar, Sugar" by the Archies was the number 1 hit song on September 21, 1969.
The #1 single on the Billboard Hot 100 on 19 Sep 1963 was Blue Velvet by Bobby Vinton.
The #1 single on the Billboard Hot 100 on 24 Jul 1959 was Lonely Boy by Paul Anka.
Wink Martindale It peaked at number seven in September, 1959
The #1 single on the Billboard Hot 100 on 17 Sep 1959 was The Three Bells by The Browns.
http://www.popculturemadness.com/Music/Pop-Modern/1959.html
The movie came out in 1965. So is was made in 1964. Or more percisely: March 26, 1964 - August 20, 1964 (with one day of reshoots on September 1, 1964).
The #1 single on the Billboard Hot 100 on 24 Jul 1959 was Lonely Boy by Paul Anka.
The Bell Telephone Hour - 1959 Holiday in Music 3-1 was released on: USA: 30 September 1960
September 1 1959 was a Tuesday.
22 September 1959 was a Tuesday.
27 September 1959 was a Sunday.
Wink Martindale It peaked at number seven in September, 1959
September 1 1959 was on a Tuesday.
September 10 in 1959 was on a Thursday.
September 23rd 1959 was a Wednesday.
September 13 1959 was on a Sunday.
September 9, 1959, was a Wednesday.
15 September 1959 was a Tuesday.