The Missing Corpse is a 1945 screwball comedy that beat Weekend at Bernie's to the dead guy lying about the house problem by decades. Not as good as my favorite dead guy in the house comedy. That would be Hitchcock's The Trouble With Harry.
A newspaper publisher, played by J Edward Bromberg, lives in his big mansion being ignored by his wife and kids. His only pal is his chauffeur played by Frank Jenks. If you're an old movie fan you might have seen Frank in many films from the early forties to the mid 50's. He appeared on a lot of TV from 1951 until his death in 1962. That's Jenks on the right in the B&W photo. The guy on the left is J. Edward. There's a villain, he supplies the corpse of the title. That dead guy gets stuffed into Bromberg's trunk. Bromberg finds the body soon after and there's a race to figure out how it got there and how to keep the cops off his trail. It's pretty funny and there are some entertaining characters. It's briskly paced and wraps up the whole story in 61 minutes. A nice piece of work and one worth seeing. You can download a larger copy from the Internet Archive.