Really cute, both of those videos.

Just a caution, though...it can actually harm a baby bird by feeding them with a dropper like that...the mother usually puts food way down their throats, past the windpipe.  If you feed with a dropper, they can accidentally inhale it and get pneumonia.

Best thing to do if you find an abandoned or hurt bird, baby or otherwise, is to put them in a cardboard carton (a shoebox works well) lined with a towel, for warmth, poke holes in the top for air, and take it to a wildlife rehabilitator.  Keeping them in the dark (closed carton) helps keep them calm, and it's important to keep them from getting chilled.

(This from the voice of experience who did just about everything wrong the first time she rescued a bird...that one survived despite my best efforts, not because of them.)

Ruth