First recorded and released by Besse Banks (US #40 released January 1964).
Hit version by The Moody Blues (US #10/UK #1/CAN #2 released February 1964).
Also recorded by Wings (1976).
From the wiki: “‘Go Now’ is a song composed by Larry Banks and Milton Bennett, and first recorded by Banks’ former wife, Bessie Banks. A 1962 demo recording by Bessie of the song was heard by songwriters/record producers Jerry Leiber and Mike Stoller who, then, had Banks re-record it in late November 1963 (with Dee Dee Warwick among the background singers), and released in early 1964 on Leiber-Stoller’s Tiger label. Bank’s version reached #40 on the national singles charts.