did sir simon canterville really killed his wife just for not doing the basic household chores?

Sir Simon is the quintessential arrogant knight. He killed his wife for being a bad housekeeper. According to him, Lady Eleanor Canterville never had his clothes starched properly. One day Sir Simon had hunted a bird which he had asked his wife to cook. He was angry with her, because the manner in which she had served the bird had displeased him. He was so angry with her, due to her clumsy ways that he shot his wife. according to Mrs. Umney the red-stain on the living room car pet is reminiscent of this fatal incident.