She sang the song for her daughters-Michelle, now 12, and Elizabeth, now 9-but the other family songs she composed, such as “Little Bird” and “Peanut Butter in Your Shoe” were never published.

“I love you / you love me / we’re the cutest family,” Kardashian sings, taking a small liberty with the lyrics and encouraging her 7-month-old to “Sing it!” as True looks on sweetly.

Once the lyrics were set, Greenwald says they moved to figure out the music, with a song Ziggy Marley had created for the Pediatric AIDS Foundation’s family concert event “For Our Children ...