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It could be a Key's for Kids episode or We Kids, but I can't recall any episodes.
If you can remember the day and time you heard the stories and if the radio station has a website you can look up and see if they have the name of the program that was airing at that time.
I tried looking it up but couldn't find anything. I think they said that the Carver one had been part of something called "Good Christians of History" but I can't recall the correct name and the website for the station wasn't helpful. The one with the kids ended and then these pirate-sounding guys (like pirate characters) came on and said that it was the end of their segment and be sure to tune in again, but I tried tuning in the next day at the same time and got nothing. I'll try Keys for Kids and We Kids.
I was trying to find a good station in a new city and discovered a weird Christian radio show. Usually it just plays music but there were two "story" episodes. One was about George Washington Carter. Two white people took him in when they found him in a barn, and he pretty much acted like a servant for them (making them breakfast, doing chores, etc.) and when the white people had to move, they left him at the house because they couldn't take him with them. It was pretty racist, with a white woman obviously doing the voice of young Carver. At one point they let him go to a "colored church". The other show was about a modern day family. The mother was talking to her kids about sacrifice, and how they should make sacrifices for God. The kids said they'd gladly sacrifice anything for God, and started talking meanly about a rich man in the neighborhood who didn't donate money to the local preacher for a mission trip or something. The rich man later offered to buy the kids' beloved dog, and the mom said they had to sell the dog and give the money to that preacher, since they promised to make sacrifices for God. The kids were really upset, so the rich man told the mother that he wanted to give their dog back, but the mom said they would have to do chores for the rich man to earn the dog back or else the sacrifice they had made was empty, or something. I was pretty horrified by that one. I am pretty sure both of them were part of certain series of radio broadcasts that this station would play. Anyone know the name of either series?