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Synonyms for Babble (same or very similar meaning)

WordNet sense 1 (gibberish resembling the sounds of a baby):
lallation, babbling

WordNet sense 2 (flow in an irregular current with a bubbling noise):
bubble, burble, gurgle, ripple, guggle

WordNet sense 3 (to talk foolishly):
blather, blether, blither, smatter

WordNet sense 4 (divulge confidential information or secrets):
blab, peach, sing, talk, tattle, spill the beans, babble out, blab out, let the cat out of the bag

From the ODE community, based on WordNetadd/edit