The leaf in the picture looks to be a Southern Catalpa due to the pointed end on the leaf you showed. AKA Eastern Catalpa, Eastern Catalpa, Indian Bean, Indian Cigar tree. Leaves up to 8" long and wide (Catalpa Bignonioides).
We've got a bunch of Northern Catalpas here in my area of central NY. AKA Western Catalpa or Hardy Catalpa. Leaves up to 12" long and 8" wide and more of a blunt point at the end then in your photo. Beans are 8" to 20" long (Catalpa Speciosa).
If it's a Catalpa, the flowers look like small orchids and it ought to have long beans hanging off it in the fall (now). I just had this discussion with a new guy from New York City that bought and old farm here in central NY. He swore it had no beans on it. I went over and looked at it and it has hundreds of long beans hanging off of it right now. Seems to be one of the few tree species here that still has leaves and are still green. Most everything else turned yellow and fell off for fall.
We've got two Northern Catalpas here we started from seed four years ago. 15 feet tall now and flowered this year for the first time.
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