I've been all over everywhere looking. No dice. The child is there on the 1900 census. In later censuses, Sarah is living with her children but has no child of her own with her. At this point, I am kind of hoping someone somewhere will have some piece of information that they haven't published, or some vague rumor about a grandpa Lyons or Simmons or McCullough or Dowies that would point to this child being Mertha. Heck, even a knowledge of the child's death would be closure!