That's red maple, as thought.
As far as the dogwood goes, there's two species that grow down south. Flowering and swamp dogwood. If you can find some swamp dogwood, you may be able to find some good shafting. I've never been able to find any shafts on a flowering dogwood.
I'm not sure if you have any yaupon holly around, but they will produce good shafts sometimes. Also, arrowwood viburnum, sparkleberry, rivercane, etc. Sparkleberry is very good if it grows there.
Good natural shafting is hard to find. If you come across a good shaft, cut it and stick it in your quiver. it may take all year to find 6 really good shafts.
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