This is a salon-style waltz composed during the mid-to-late 19th century in the United States. It is distinctive for its lighthearted melodic appeal and traditional harmonic structure typical of American parlor music.
Focus on maintaining a steady dance pulse while balancing the melody against the accompaniment.
Comparable difficulty and character — good candidates for what to learn next.
Beauties of Iolanthe is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 4.
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 Beauties of Iolanthe lasts about 4 minutes.
Beauties of Iolanthe 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 Bouton de Rose by Henry Maylath, Belvédère by Henry Maylath, Beside the Sea by Henry Maylath — see the full similar-pieces list on this page.