The Dream Egg
After Ollie and Guadolupe have their fight, go to the restroom and hear Nancy say "Call 1-555-Mystico and prepare to be amazed!"
This step is optional
Go downstairs to the desk and dial the number on the phone. When Mystico answers and asks you want you want, say "something very special."
He will tell you to go back to the icy depths and discover the decrets of the great blue sea. In other words, go back to the fishing shack and go fishing. If the egg comes floating by, catch it to put it in your inventory.
Now you can acces teh egg-themed Chinook guest room and if you set Nancy's alram clock while holding the egg with the cursor, she will hae a bizarre dream sequence.