"Morris Dictionary of Word and Phrase Origins" by William and Mary Morris states: "layover to catch meddlers is a dialect variant of a very common answer used by adults to evade a direct answer to children's questions. Instead of saying to the child. 'It's none of your business,' he would be told, 'It's layover to catch meddlers.' So what's a layover? you ask. A layover is a trap for bears or other unwary animals, made of a pit covered with boughs. And a meddler, of course, is a person who interferes in other people's business. The phrase was recorded in Eastern and Southern states as long ago as 1890. It also appears as larovers for meddlers, layos to catch meddlers and even as a single word, larofamedlers."
Wow what an interesting phrase!