Chickens came first, by about 3400 years, or closer to 7000 years depending on how strict you want to be about "domesticated chickens." Both dates go much further back than any written records, so we can't say much about what the process actually looks like. Genetic analysis of modern chickens has repeatedly shown that domestic chickens derive largely from red junglefowl, native to the region around modern Thailand, and began diverging c. 8000 BCE. Genetically modern chickens are the result of artificial selection, the smaller gene pool in captive breeding, and the introduction of additional junglefowl species as the human-raised red junglefowl spread across Southeast Asia, China and India, with archaeological and genetic evidence for true chickens appearing in each of those regions between 6000-2000 BCE.

One of the recurrent conclusions in studies on the evolution of chickens is that all red junglefowl and their cousins really needed to instigate domestication was a steady food supply. In the wild, junglefowl populations spike according to multi-decade cycles of bamboo seed production. When more food becomes available, they breed more often and in greater numbers. All humans had to do was throw off the natural rhythm by making sure their new birds never ran out of food and kept breeding at peak rates. It's no coincidence that true chickens first appeared right around the time that permanent agriculture developed the same regions. It was guaranteed food for people and poultry alike.

Currency emerged much later. Coin currency first appeared in Anatolia and India, through entirely separate developments, around 600 BCE.

In the west, standardized coinage first began circulating as a byproduct of over-produced tokens for use in temples or to mark royal favor by the Lydian king Alyattes and nearby Greek city-states. They were conveniently sized, relatively reliably minted, and fairly valuable. This made early proto-coins an easy method of exchange for their pure metal value because they could be appraised at a glance. Before long, the Lydian government recognized the utility of controlling and regulating this emerging medium of exchange and began producing coins explicitly as currency, and the Greeks followed suit.

In India, the first karshapana coins emerged as an apparent attempt to standardize the widespread pre-currency use of hacksilver, a German word referring to the practice of just cutting off a bit of precious metal from another object to exchange for its metal value. Early karshapana were irregular shaped bits of silver cut from sheet metal and stamped by local merchants to show that they had been weighed, guranteeing that each piece of silver was actually one karsha (a unit of weight) at a glance. As in the west, local governments quickly stepped in to be the arbiters of coin production and circulated their own karshapana.