You’re forgetting that farmers produced off shoot jobs in various industries; canning, shipping (railroads, canal etc) , barrel making, clothing, leather goods....too many to mention....
They weren't producing all those jobs in the time period I described. Canneries and railroads didn't even exist back then. And if farmers were 95% of the work force, then any of those other jobs couldn't have been more than the remaining 5% at most.