I started a business FB page as, to me, it was just some additional free advertising. It's open to the public and posts are limited. I've snagged a number of clients through that, in addition to a website, this site, etc. Most of my career's clients are on my personal page, too. I've never been terribly concerned about anything coming back to haunt me as...well...my life isn't all that interesting and I don't post anything unusually questionable. I've never had a problem, nor have I had a concern. But starting a business page is a good idea if you're looking to get her off your personal page. It sounds to me like she just wants to stay connected to and tout her good choice of childcare. It's quite flattering, really.