This is Woody and Malloy's House. Not only is it a house, it's a mansion that has many stories and its own pier docked next to a lake. The house is mostly made of wood while the chimney and supporting blocks are made of stone.
Ethel is quite jealous of their house, because she and her co-workers all live in shabby small cabins while Woody and Malloy are rich and spoiled.
Malloy seems to prefer the living room during the day because then he can play video games all day and eat junk food. In "Write 'Em Cowboy", it turns out that Malloy has his own bedroom and that his bed is oversized for him cause it's human-sized.
The house was partially dismantled in "Write 'Em Cowboy" by Malloy when he became big.