How do I get the lover?

You'll have to make the lover yourself.

Out of pieces of wood.

There's some wood in the book room.  You just need to cut it up in to
appropriately sized pieces.

Use the axe on the wood ruler to get your wood blocks.

You also need something to draw a pattern onto the wood block.

Get the chalk out of the drawing book and take both items back into the chess
room.

Use the chalk on the block of wood (right hand) and draw the pattern to
carve.

You should have the tools in here to make a rough piece now.