Two more uncredited roles at Columbia followed the same year: the Officer in "Arizona" starring John Wayne, and Snooper the Henchman in "The Pagan Lady" starring Evelyn Brent, before other companies began to award him more visible parts with screen billing. After "The Age for Love" (1931), released by United Artists, he was cast as Allen by Raoul Walsh for Fox's romantic comedy-drama "Me and My Gal" (1932), with Spencer Tracy and Joan Bennett. On February 26, 1932, Morris married stage actress Eva Virginia Shipley in Berverly Hills, and continued working regularly, playing uncredited or supporting parts in major films released in 1933, such as Warner Bros.' "The Little Giant", with Edward G. Robinson; "The Mayor of Hell" with James Cagney; "Bureau of Missing Persons", with Bette Davis, Pat O'Brien and Glenda Farrell; and the powerful Depression drama "Wild Boys of the Road", with Frankie Darro. The same year, he also played the uncredited role of a crap shooter in Universal's "King for a Night", directed by Kurt Neumann, and starring his brother Chester in the lead role. From 1934 until the end of 1939, Morris appeared in a total of 45 major studio features, many of them top commercial and artistic successes made by the industry's greatest directors. At Warner Bros., he supported James Cagney and Ann Dvorak in "G Men" (1935); Paul Muni and Ann Dvorak again in "Dr. Socrates" (1935); Bette Davis, Leslie Howard, and Humphrey Bogart in "The Petrified Forest" (1936); and James Cagney, Pat O'Brien and Humphrey Bogart in "Angels with Dirty Faces" (1938). Morris was also a sidekick for Grant Withers in two serials: "The Fighting Marines" (1935) for Mascot Pictures and "Radio Patrol" (1937) for Universal Pictures. Paramount Pictures cast him with W. C. Fields and Rochelle Hudson in "Poppy" (1936); Mae West, Edmund Lowe and Louis Armstrong in "Every Day's a Holiday" (1937); Sylvia Sidney and George Raft in "You and Me" (1938); Ronald Colman and Basil Rathbone in "If I Were King" (1938); and Barbara Stanwyck and Joel McCrea in "Union Pacific" (1939).