How late does it start?
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Soon. I’m not finding an answer that’s Ohio specific, but the two date ranges I find are for flowering times of July-September (Britton & Brown) and June-October (Gray’s). These references cover the Northeastern US, with the southern border of Virginia and Kentucky as the southern limit of the area covered. Flowering times in Ohio should thus be a little later than the earliest dates given in the references (since Ohio is a little further north)