When rivers overflowed their banks, what would have happened in the Neolithic Era?

Wild animals would have come to drink.
Vultures would have circled looking for ready food sources.
The first humans would have followed the wild game.
Plants would have naturally grown.
The ground would have dried up quickly.
It would have gotten too crowded along the river.
Farming communities would have taking advantage of the bounty and established habitations around them.