At 5 feet, your plants are close enough to your bigger tree to be suckers, that was part of my point in my last post. I know they are suckers coming up in the middle of our remaining lawn & in new flower bed area because attempts to remove them led to severed roots of the mama tree. Suckers can come from anywhere along the root system. I'm sure you'll be able to tell which yours are when you get the shovel out. A sucker or a sprout should grow the same way.
If a naked piece of root can keep growing in 95 degrees with the sun shining on it for a few hours a day, a month after it was dug up, I don't think you'd have any trouble re-planting your babies in new permanent spot immediately.