I haven't done any research on the Kirby's but I have an Alice Mae Kirby married William Glen Knox in Washington County in 1895. They had one daughter, Jessie. Her parents were Thomas H. Kirby and Virginia Ashley of Washington County at the time of the marriage. The couple moved to Oklahoma Territory by 1900 census. Jessie married a Robert Campbell. One son is still living.
Thomas Henry Kirby was born in 1848 in Washington County, AR. On the 1880 census Thomas and Virginia are in Crawford County, after that it is Washington County until death. I don't have any direct connection to the names you mentioned.