woodcutting, lumberjack
樵 centers on cutting wood as an occupation: a lumberjack or the act of woodcutting.
樵 combines 木 (tree/wood) with 焦, which likely contributes the sound and may relate to burning or charring, but the exact historical role of 焦 in this character is uncertain.
A lumberjack uses a tree 木 to make firewood, and the right side 焦 suggests the wood will eventually be burned or charred.
For ショウ, imagine a lumberjack showing off his woodcutting skills: show -> ショウ, and the tree 木 is his stage.
to chop down trees (in a mountain forest)