Eventually, the poor puppy just had to hear the bell to get her glands going.
I hear you saying "thanks for the mediocre science lesson Three, but what does this dog have to do with my baby?" Well I love babies, but even I have been known to relinquish my darling Tiny if he's sobbing. So here's what you do. Every time the nanny comes into view pinch your three year-old, HARD. This should in turn make the child cry. Eventually no pinch will be necessary, and the mere sight of the nuzzling-nanny will be enough to turn your bundle of joy into an inconsolable mess.
As someone who often receives distressing hugs (usually from someone whose name rhymes with Spruce), I can say--with complete authority--that they suck.