Jules Egghard was a prolific composer of parlor music and transcriptions. This setting of the traditional tune relies on sentimental melody and simple harmonic accompaniment.
Focus on balancing the melody in the right hand against a soft, supportive accompaniment.
Comparable difficulty and character — good candidates for what to learn next.
Blue Bells of Scotland 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 Blue Bells of Scotland lasts about 3 minutes.
Blue Bells of Scotland 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 Bluebells of Scotland by Jules Egghard, 2 Airs valaques by Jules Egghard, 'O sole mio by Eduardo Di Capua — see the full similar-pieces list on this page.