This original, ukulele-fingerstyle piece is called "Fast Lullaby" and plays with a simple right hand pattern. Each finger, thumb through ring finger, sticks to one string each which makes it pretty easy to be learned once you nail the part with the hammer-on and pull-off trill on the left hand.
Harmonically, it pretty much sticks to A, E and D major chords while occasionally hinting at the subdominant minor (Dm) as you will find quite often in older-style songs of the American Songbook. Love the ukulele!
Thanks for sharing!