You can get Gold lumber by purchasing it from Gotz -it's a bit pricey coz it costs
100,000g.
The affordable way of getting your hands on gold lumber is by doing the request for Thomas
on Winter 2. Just re-load if your quest is hard.

Hope I helped ask me anymore questions later- I'll see what I can do!
From:Roxas

is found in the first mine. To get the first mine, go to the dig site after 9 pm.

Hay Roxas!
You need to go to CG Community...type it in on the search...

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w8 until winter and thomas will request to you to get 7 white gr*** i think and the reward
is 1 gold lumber

gr***

how did u get gold lumber on the first mine?