We don't know what language was spoken by the Copper Age peoples of what Marija Gimbutas called “Old Europe.”
But whatever it was, we still—in a sense—speak it today.
English is an Indo-European language. The Indo-European languages all descend from a language spoken during the late Stone Age on the prairies (“steppes”) between the Black and Caspian Seas. This language was spoken by a milk-drinking, pastoralist people who domesticated the horse and invented (and named) the wheel. (Our wheel comes ultimately from their word *kwelkwlos, literally a “turn-turn.”)
Their nearest neighbors, to the southwest, in what is now Ukraine, Poland, and Rumania, were the Cucuteni-Tripolye cultures made famous by archaeologist and feminist ideologue Marija Gimbutas. These were settled farmers, eaters of bread and beans, whose bold, swirling designs, striking ceramics, and fetching little female figurines still speak directly to us today.
These two, the Indo-European and the Old European, were, in effect, our Father and Mother Cultures.
And we still speak their languages today.