I learned it from Jonathon Eberhart's recording, and always assumed about the same as what Arkie says: It's any of the wonderful home made pies that the church ladies take to potlucks, not a specific kind of pie. I suspect the ladies put out their very best efforts when they were cooking for a church function, because there's a certain satisfaction in getting a reputation for being a wonderful cook. And of course, a woman wouldn't take pie unless she felt her pies were one of her best dishes. :-)

Rita