Aura Lee
Aura Lee is an American song from 1861 — you'll know the tune as Love Me Tender, which borrowed it word for word a century later. It's gentle, it's in C major, and it's the tune that finally gives your C-major first-position hand a real workout.
Why C major is its own challenge
C major has no sharps — but on the violin it uses the low 2nd finger on both the D and A strings (for F and for the top C), and it starts with the 3rd finger on the G string. There are no open strings on the way up as anchors. Your ear does more work here than in G or D.
Phrase 1 — "Love me tender, love me sweet…"
Phrase 2 — "You have made my life complete…"
This phrase leans on the IV chord (F–A–C) — that warm, "amen" subdominant colour.
The whole tune — playthrough
The usual mistake
Playing the low 2nd finger (F, and the top C) too high — drifting toward F♯ and C♯ out of the D-major habit your hand has built. In C major those fingers pull back to touch the 1st finger. Check them against your ear: F should sound a half step above E, not a whole step.