I'm sorry I haven't responded sooner; I just didn't have time to dig.According to my source, Rachel was, indeed, the wife of William.She married Ezekiel, William's older brother, after William's death. Marriage date 1 Feb. 1860. Rachel and William had four sons, according to the source, and Rachel and Ezekiel had four daughters.
I can't speak for Henry and Lucy except to note that Lucy's birth year was given as only an approximate "ca 1863".I think this deduction was made in that her age at marriage to Henry was noted as 15 on 13 May 1878. If we could allow that she would be 16 in the fall of 1878 that would put her birth year as 1862.That might account for birth year appearing to be 1861 in census records depending on enumeration date. ---just a thought.