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Richard Yaw of Louisiana was a relative of my husband. He lived in Louisiana and his sons often moved into Texas, like Gonzales, Bastrop, Milam counties. etc. Most likely some may have gone on to NY State, but I am not familiar with them. It is also possible that some of them came into NY State to start with and stayed there. I found a David Yaw in Oswego, NY born in abt 1846, he was a blacksmith and had been born in NY. He had several children and had a son, Charles born in 1849. I do not find the exact people you mention, but they all used the names Richard, Charles, and William, etc. You might try the different census like 1860 or 1880 with www.family search.org and find some more of your family for sure. Best wishes in your search,