I composed this song on the computer last night. Lullaby in the key of E. 24 measures, 1 minute. I haven’t even played it on the piano, but you can listen to the synthesized version and perhaps learn it yourself if my note patterns are not too exotic. 
Download synthesized MP3 [1] (1:00, 1MB)
Download sheet music [2] (PDF, 2 pg., 30KB)
Download MIDI sequence [3] (1:00, 3KB)
Download Sibelius 5 score [4] (42KB)