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Info from Wiki about slings…
Whereas stones and clay objects thought by many archaeologists to be sling-bullets are common finds in the archaeological record, slings themselves are rare. This is both because a sling's materials are biodegradable and because slings were lower-status weapons, rarely preserved in a wealthy person's grave.The oldest-known surviving slings—radiocarbon dated to c. 2500 BC—were recovered from South American archaeological sites on the coast of Peru. The oldest-known surviving North American sling—radiocarbon dated to c. 1200 BC—was recovered from Lovelock Cave, Nevada.
The oldest known extant slings from the Old World were found in the tomb of Tutankhamun, who died c. 1325 BC. A pair of finely plaited slings were found with other weapons. The sling was probably intended for the departed pharaoh to use for hunting game.
Another Egyptian sling was excavated in El-Lahun in Al Fayyum Egypt in 1914 by William Matthew Flinders Petrie, and is now in the Petrie Museum of Egyptian Archaeology—Petrie dated it to c. 800 BC. It was found alongside an iron spearhead. The remains are broken into three sections. Although fragile, the construction is clear: it is made of bast fibre (almost certainly flax) twine; the cords are braided in a 10-strand elliptical sennit and the cradle seems to have been woven from the same lengths of twine used to form the cords.
Ancient Greek lead sling bullets with a winged thunderbolt moulded on one side and the inscription "ΔΕΞΑΙ" (Dexai) meaning 'take that' or 'catch' on the other side, 4th century BC, from Athens, British Museum.