This is a quintessential example of 19th-century American sentimental song literature often transcribed for piano. Its distinctiveness lies in the contrast between its simple, folk-like melody and the mournful nature of the lyrical content.
The student must navigate the consistent use of the Alberti bass accompaniment without allowing the left hand to overpower the melody.
Comparable difficulty and character — good candidates for what to learn next.
'Tis But a Little Faded Flower 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 'Tis But a Little Faded Flower lasts about 4 minutes.
'Tis But a Little Faded Flower 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 Butterfly Lovers by Shuwen Zhang, Bahçe Duvarından Aştım by Anonymous, "Світає" by Vitaly Melnichenko — see the full similar-pieces list on this page.