My Thanks To You is a studio album recorded by US Entertainer Connie Francis. The album features songs which had been popular on both sides of the Atlantic between the 1920s and the 1940s. It was recorded March 4–6, 1959 at EMI's famous Abbey Road Studios in London.

During the sessions, Francis recorded two versions of the song I'll Close My Eyes, written by Billy Reid and Buddy Kaye. Both recordings share the same orchestral arrangement but different sets of lyrics, which are referred to as "American version" and "British version" for distinction. The British version was included on the album while the American Version remained unreleased until 1993.

Geoff Love and Tony Osborne, who both also appeared as conductors, provided arrangements in the style of British Light Music to make the album more appealing especially to British audiences who had rewarded Francis with # 1 chart notations for Who's Sorry Now? and Stupid Cupid in 1958, making her even more successful of the European side of the Atlantic than on the American where both songs had peaked on # 4 and # 16 respectively.

But even with sophisticated singles such as My Happiness (a US # 2 and a UK # 4 for her in early 1959), Connie Francis was still considered too much of a rock 'n' roll singer to be also accepted as a performer of adult contemporary material, hence the albums failed to make an impression on the charts.

The album was re-packaged with a new cover design and re-released in March 1962.

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