Here is the solution to the paperweight puzzle in Resident Evil: Code Veronica X:
When playing as Chris you will encounter a puzzle in the room that Alexia was contained in. On the right side panel you will see a message that says:
As twins Alexia and I are two sides of a coin. A design is carved under the name Alexia. There is a button with a design. Push the button?
The solution to the puzzle is: AA - Crown - Heart - Spade
Once the drawer opens, place the paperweight inside and you will obtain Alfred's Ring.