I had to google it. It turns out that Weird is an actual surname of Scottish origin.
It was a twelve minute radio show, 1944 to 1945. Dr Weird lives in a house by the cemetery. He invites us in and tells us another story. Each episode also has a cheery commercial for men's hats, so the story itself is pretty short, but you know where each episode is going so there's no point dragging it out.
In one episode, a couple, desperate for cash, go to visit the husband's only living relative, a wealthy recluse living in a swamp where he says he's protected by his "friends", the snakes and alligators. The old timer leaves them alone in his shack, they find his money box and murder him when he returns, but they're eaten by alligators as they try to get back.
It was interesting to listen to a show that required so little apparent effort, but that might have been deceiving. Even the title seemed lazy, although it did capture the flavor of the program.
They were shortened versions of stories from a half hour anthology series called The Mysterious Traveler.
I don't know what else to tell you.
You can download it here:
https://archive.org/details/OTRR_Strange_Dr_Weird_Singles