Round Midnight was the album, and I bought it immediately in 1986. Some of my favorites from the album include "Someone to Watch Over Me," "What'll I Do," "When You Wish Upon a Star," "I Love You (for Sentimental Reasons)," "Bewitched, Bothered, and Bewildered," "My Funny Valentine," "Skylark," and "Falling in Love Again."
It was recorded with Nelson Riddle and his Orchestra, by the way.
The following year, she released an album called Canciones de Mi Padre, an album celebrating her Mexican heritage, recorded in Spanish with English translations provided. It earned a Grammy and still is, I think, the biggest-selling non-English album sold in America. To tell you the truth, I listened to the album a few times and didn't really get into it. I still have the LP in my studio/office, but I haven't listened to any of the songs on it for more than 30 years.