Franz Jüllig's work reflects the prolific output of minor Romantic composers who produced educational music for the home. The piece utilizes conventional harmonic structures typical of the period.
At Henle 2 this is a beginner-level piece, where steady coordination between the hands is the main hurdle. The main demands: a true singing tone, with the melody floating above the accompaniment, and a left hand with real melodic or rhythmic responsibility of its own.
Watch for correct finger usage in the accompaniment to ensure evenness.
Comparable difficulty and character — good candidates for what to learn next.
A level or two down with the same spirit — ideal if this piece is still out of reach.
Where this piece's skills lead: slightly harder works making similar technical demands.
Cradle Song is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 2.
You should be comfortable at Henle level 2 — meaning you can already play level 1–2 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 Cradle Song lasts about 3 minutes.
Cradle Song 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 Blue Moon by Lee S. Roberts, Confidência by Marcelo Tupinambá, Amalia Vals by Hans Christian Lumbye — see the full similar-pieces list on this page.