I put the lighted candle at the front/on the front part of the table.
Which word/s should I use to mean that the candle is put at the front edge of the table? If neither, how should it be expressed?
I suppose that a table set against a wall could have a 'front' and a 'back' but for a table standing free, I'm not completely sure what the 'front' would be.
Putting that aside and allowing that those concerned understand where 'front' is, I'd say that both would work for describing a general area, Ms Tan.
But if you want to describe "that the candle is put at the front edge of the table", why not just use that?