Kids are how old? How reliable are their "tales"? Exactly. As for friends, what do they know?
Pay no attention outside chatter.
Pay attention to what W is doing through her actions. That is where the focus needs to be squarely on. Gosh, a few months ago, W was an icicle. Now? She's chatting up with you.
Keep going on what you've been doing lately. It is working. Hey, remember to get silly strings for your D's birthday party. That'll be a fun memory and your W will definitely feel warm and fuzzy watching you being the fun Dad during the party. Rock on!
Oh...another fun idea. Why don't you compose a fun song or ditty for your daughter with your guitar?! Hmmmmm...