How do Edgar and Heathcliff mourn Catherine?

Edgar is quiet and stays in the room where Catherine lays, restless and grieving.

Heathcliff, is angry and takes out his anger on Isabella. He then goes to see Cathy after her death and Nelly spots him outside. She goes to see him on top of the hill outside her window. While there Heathcliff asks if Catherine mentioned him in her dying moments, Nelly replies that she was not even conscious enough to hold her own child. With this Heathcliff smashes his head against a tree and curses her spirit, telling Cathy to haunt him for eternity, as he would rather be with the ghost of her than without her at all.