What if your pet painted turtle keeps trying to dig holes in the backyard does this mean she is going to lay eggs?

That would depend on which legs they are digging with. If they are digging with their front legs then they are just digging to be digging because water turtles love to dig. I they are digging with their hind legs then there is a good possibility that she is trying to lay eggs. But as I said, water turtles like to dig.