Written and first recorded by Jules Shear (1983).
Also recorded (but unreleased) by The Cars (1983).
Hit version by Cyndi Lauper (US #5/UK #64/CAN #7/AUS #17 1983).
From the wiki: “‘All Through the Night’ was written as a mid-tempo folk-rock song by Jules Shear for his album Watch Dog. After The Cars recorded their own version, and then decided they did not want to use the song on any forthcoming album, Cyndi Lauper decided to cover it for her debut album, She’s So Unusual, (with Shears on background vocals). Although Lauper initially intended to do a straight cover of Shear’s version, she instead turned it into a Pop ballad instead. The song was Lauper’s only single released worldwide not accompanied by a music video.”
Cyndi Lauper, “All Through the Night” (1983):