Under The Covers: Other Artists Covering Beatles Songs: ‘ All My Loving’- Suzy Bogguss & Chet Atkins. One of the first great songs written by Paul McCartney. ‘All My Loving’ from With The Beatles. This is certainly one of those songs which could have been a hit single but was never released as a single in the US or UK. It did make it to #45 on the Billboard Hot 100 singles chart-because it was released in Canada as a single where it went to #1- and enough copies came into the US to chart the song. This cover by country artists Suzy Bogguss and the great guitar picker Chet Atkins- came from the 1995 compilation tribute album Come Together: America Salutes The Beatles.