Listen to In The Wee Small Hours Of The Morning online. In The Wee Small Hours Of The Morning is an English language song and is sung by Carly Simon. In The Wee Small Hours Of The Morning, from the album Top Gun/ Footloose/ Sleepless In Seattle (3 Pak Cube), was released in the year 2002. The duration of the song is 3:15. Download English songs online from JioSaavn.