To look under the bed, you have to "know" that Mordred keeps papers under there. The clue is in a note from the Princess's bedroom in the unreachable tower. To reach it:
You go into Mordreds lab and grab a paper and turn it into her.
The Missing Journal Page tells you where you're going, but you need a spaceship to get there. The saucer Excalibur is crashed out in the mud past the Mill. (see related questions)
u have to go to the princesses room bye getting the rope (near the windmill) and tie it to the arow (climb the castle) and the shoot it to the door and then climb the rope and enter the room go to her ches on the feft and get a paper and the read it then go to his bed and click under it
It's downstairs. Press one of the stacked books with a paper on it, and it should get you the library card.
you click on the paper under mcm
The only things you do in the castle dungeon (under the library) are pick up the cheese and throw the switch. (see related question)
you will get a scrap of paper that will have the code from under ground under hay. then go to the fountian and push them in order. then go down in the fountian and click on the people.
Once you have the Secret Message from the Maid's room (castle 1st floor left), go to the mill and up into the loft to get the Password from the girl there.
The rolled up paper is on the shelf in "Non-Fiction McM". This is written on the library slip found at the Mordred Museum. (Get the shiny gold coin from the fountain and pay your admission.)
you trad a piece of paper for the password
You don't lose the Cosmic Symbols when you use them. Once you have the key to Mordred's laboratory, you don't have to go back down anyway. (see related question)
The queen gives you a card with the coordinates of three planets, which are too far away for the saucer Excalibur to reach. The nearby Pewter Moon is at X-56 Y-52.