Abner Silver's piece is a light, popular-style piano work likely intended for vocal accompaniment or casual listening. It is distinctive for its use of traditional ballad structures and predictable, pleasant harmonic progressions.
Work on fluid rubato to ensure the phrasing sounds natural rather than rigid.
Comparable difficulty and character — good candidates for what to learn next.
Barbara is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 3.
You should be comfortable at Henle level 3 — meaning you can already play level 2–3 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Barbara lasts about 3 minutes.
Barbara is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Für Elise by Ludwig van Beethoven, Berceuse by Rudolf Friml, Albumblatt by Richard Wagner — see the full similar-pieces list on this page.