The Missouri siting is probably nothing, just mistaken identity, but can't be ruled out 100% -- yet.
I'm new here but have been lurking since close to the beginning of Mollie's disappearance, so I just wanted to make the following observations:
Looking at various social media, I get the impression Mollie loved dogs and would most likely keep the dogs around while she was at the house, meaning it's doubtful they were in the basement at night. The basement is finished and looks really comfortable from what I've seen on SM posts.
I had seen some pictures of the inside of the house (I think they were in one of Gray Hughes' videos on YouTube) and correlated those with the ones from SM. My point being that the dogs having an accident in the basement wouldn't just be on some unfinished concrete floor -- there is carpeting and a couple of nice couches down there. To me it likely seems Mollie disappeared early in the morning at some point after she left the house to most likely IMO walk to get the car from her mother's house. That would explain the missing red shirt (yeah, I still believe that is pertinent) and the dogs in the basement.
As for the wallet, contacts and glasses at home (I'm calling her boyfriend's house "home" because it was said she practically lived there this summer), if she was going to grab the car and go to work and be at a fair all day with kids, then she'd most likely NOT take a lot of bulky items. She could've slipped her license in her pocket. When I am going places with lots of people, I either bring my wallet and put it in my front pocket, or just bring a few essential items from said wallet, e.g. license, credit card, some cash, etc. So basically what I am saying is something happened in the morning, before 7:30am (when her brother Jake sent her the text, because she didn't respond).
One other theory based on observations of SM and the area around the home:
Mollie, like a lot of people, myself included, seems to be a "seasonal tanner". Looking back at her SM, it's easy to see she has a seasonal tan, so it's not likely she goes to a tanning salon. That would leave most likely tanning in the somewhat large backyard behind her home, which happens to be right across from the electric co-op. It's possible that somebody spotted her sunbathing across the way from there.
I'm a computer programmer and I also do security consulting and troubleshooting, so my brain is constantly looking at so many minute details, so the things I've outlined here have been weighing on my mind quite a bit -- glad I could get them out in such a great community!