Someone who was probably asked by LE not to mention the visit to the media at some point earlier, but felt it was important to help clear Misty and Ronald because she knows for a fact Haleigh was fine at that point. Or someone who didn't want the media jumping all over her mother...
During the walkthru, GGMS probably meant that she cleaned and left the toys exactly as she found them when she went into the mh thinking that is where Haleigh left them. To her it was a sentimental gesture, I would guess.
When Teresa stated she sent someone to "check" on the kids, I thought nothing of it. My mom would say the same thing, but what she would mean is to simply see them and wouldn't mean anything sinister or be implying they were in danger. GGMS went to drop off the laundry and see the kids for a minute or two. Why is that a big deal? It is their GGM! People are suspicious of the silliest things, IMO. Family going to see family! HORRORS! LOL