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 Frank Sinatra. In the Wee Small Hours of the Morning, from the album Frank Sinatra the Biggest Hits, Vol. 5 (Platinum Collection), was released in the year 2016. The duration of the song is 3:00. Download English songs online from JioSaavn.