A 1/3 farthing coin? Egad, that was a terribly small denomination.
That from an age when money slowly increased in value over time. How's that for a vignette?
Speaking of low denominations, the early Republic saw the Mint issue a half-cent coin. Despite its small monetary value, it was about the size of a quarter. The switch from the large cent to the small cent in 1858 put the kibosh on the half-penny. The original large cent was more than an inch in diameter.
27-29 millimetres for all you metric guys :)