Kelly,
I am not sure what happened to his wife. From what I've read, Morley, who was 39 years old when he boarded the Titanic, also had a 12 year old daughter back home. History has it that he told his wife that he was going to America for "a few months" for health reasons. Back then, it wasn't common for one to leave their spouse or family in order to travel, perhaps to find a new home, and later send for their family once living conditions were comfortable. Soon after Kate returned home, she realized she was pregnant. I don't believe this was kept a secret, so I assume his wife soon realized the motives of her husband. Maybe someone else here can offer more information about his wife, after Morley died.
He and his brother did however, own confectionery shops in Worcester, Malvern and in Birmingham. Those shops were closed temporarily after the sinking, out of respect for his missing body.
(An interesting side note: In the late 1990’s a traveling Titanic Exhibit, showcased some artifacts from the Titanic, including a necklace with the centerpiece being a large blue jewel. The story has been that the necklace was a gift from Morley to his mistress Kate. The necklace was dubbed ‘L’Amour de la Mer’ - The Love of the Ocean. Some have said that the necklace was an inspiration for Cameron's "Heart of the Ocean", however Cameron says the necklace in the movie was of pure fiction)
-Eric