Siblings of William Madison Waits are: Mary G. Waits (born 1853); Thomas Waits (born 1855); Frances Waits (born 1857); Charles S. Waits (born 1859); and Warren Waits (born ?).
I have just moved to a new house so all my genealogical data is packed away in boxes. This information is from a genealogical software program that I use. So I can't give you much more information than I have already provided.
Perhaps you will find this information helpful in your research.