1880 US Census Data as reported:
Wm Edwards, Age 55, farmer, born England, father born Wales, mother born England.
Charlotte, Age 59, keeping house, born England, father born England, mother born England
William, age 19, son, at home, born England, father born England, mother born England
William, age 1, grandson, born Kansas, father born Ohio, mother born England
So, yes, there are some inconsistencies between what was reported in the census or what the census taker wrote and what is in the family history. As written it indicates the youngest William is not the son of William age 19. Meeting with a great great granddaughter (who is in the grave monument business) today which may offer some insight or leads to clear up confusion.