different between millwork vs woodwork

English

mill +? work

millwork (uncountable)

(US) Any wooden object manufactured at a lumbermill (sawmill).
Most especially, doors, windows, and wood trim with decorative cross-section involving curves, beads, grooves, etc.

From Middle English woodewerk (“carpentry”), equivalent to wood +? work.

woodwork (usually uncountable, plural woodworks)

(countable) Something made from wood.
(uncountable) Wood product.
(uncountable) Working with wood.
Synonym: woodworking
(only in plural, often in proper names) A workshop or factory devoted to making wood products.
A place of concealment or obscurity.
(soccer, rugby) The frame of the goal, i.e. the goalpost or crossbar.

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