Except for one rule, the Doll House puzzle is exactly the same as the game called Pente. What I did was play Pente on the site pente.org, but with a twist. You play the moves Stauf makes into the Pente browser game and then mirror the moves the computer opponent makes back into The 11th Hour. Basically letting Stauf play against the computer. Then you only need to hope the game doesn't crash because of all the alt-tabbing, alternatively you can play in windowed mode by changing the ddraw.ini in the 11th Hour folder, but video playback may have problems then.

Thought I'd share this and hope it may help someone.