It appears that the will (image 4020) is dated 8 Jun 1596 [8 6 1596]. It was proved 5 Oct 1596 (image 4019).
The will mentions several Carpenters, including William, Robert, Eadye, and Alyce, as well as "my brother Edwarde Stockeham" but it would take someone more familiar with the handwriting to decipher it properly.