Hi there,

Welcome to the guitar! I found a version of the song you are looking for at this link:
http://www.traditionalmusic.co.uk/folk-songs-with-chords/Hand%20Me%20Down%20My%20Walking%20Cane.htm

It looks like a good basic version, with chords that you would strum or fingerpick, depending on your style preference. Let me know your thoughts -

Good luck!
Best wishes - Lisa