Here’s the sheet music and YouTube video for a new piece that uses only one string on the violin, the D string. And only uses the notes D, E, and F#. Only two fingers are needed to play it, the first (E) and the second (F#) finger. And the D is played with the open D string. Only half notes and quarter notes are used throughout the whole piece. So it’s a great beginner violin piece.
You can download an entire book of pieces like this for free here.