Who is Hamnet Shakespeare, from from The Sandman and what is their importance?

Hamnet is William Shakespeare's young son. Hamnet resents his father because Shakespeare is obsessed with his plays and pays no attention to his young son. Lady Titania takes a liking to Hamnet, and Hamnet talks with her during the play's intermissions. Afterwards, Hamnet is full of stories about the fairy realm. Hamnet dies a few years later, and it seems implied that Hamnet is ultimately lured into the fairy world.