I'm with Davia18. There are too many questions/details that we are not privy to.
Regarding his/her questions on whether g'ma could be confused on the exact location and whether there is an absence of footprints... my question is did LE see 3 sets of footprints where the g'ma says Noah was last seen???
If not, he could be anywhere. It could possibly be a situation where part of the story is accurate and part is too painful to admit. G'ma could have been distracted or in fact tending to the sister in the house and Noah somehow let himself out. Her gut told her that he would go straight for the woods and that is where she and the sister ran to look. No blame, just trying to make sense of this in my own mind. Back in the 80's, I lost my 3 yo in a huge crowded hotel conference once. It was hard to admit that it wasn't a few seconds or one minute of distraction, but an entire intro, song, applause, and stage exit, (my older child was competing in). He vanished! and in all that time could have been out of the facility. An announcement was made and suddenly a group of people starting waving and pointing down. I ran to the spot and he was under the chairs laying on the carpet hands under chin. He said he couldn't see and just scooted under chairs until he could. My "thoughts" were leading me to he was out of the doors, but he was actually closer to the stage. I still look at him and "what if" myself about this.
Just saying all that (sorry for going off track) but like others have posted I agree that Noah might be in the opposite direction of these woods. The circumference needs to start from the house out in all directions. Not just from the house to the woods. Still praying for a miracle, and no matter... just want this precious baby found.
Wish I was near TN too. Prayers Noah is found soon.