20.3The most important three chords first
In a major key, start by testing:
I, IV, V
In C:
C, F, G/G7
Many simple melodies can be harmonized largely with these.
So when listening to a simple song, don't initially ask about Dm, Em, Am, secondary dominants, borrowed chords, etc.
First see whether:
C / F / G7
explains the skeleton.