Charles William Glover was a prolific writer of sentimental Victorian music that translated well to the amateur piano market. This piece is characterized by its balanced, simple structure and gentle, flowing melodic lines.
Focus on precise articulation and a balanced left-hand accompaniment that does not distract from the main theme.
Comparable difficulty and character — good candidates for what to learn next.
'Tis Hard to Give the Hand 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 Hard to Give the Hand lasts about 3 minutes.
'Tis Hard to Give the Hand 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 Believe Me, If All those Endearing Young Charms by Irish Folk Music, Blue Moon by Lee S. Roberts, Arroz con leche by Wannes Vanderhoeven — see the full similar-pieces list on this page.