Well, let's see if we can make any other connections.Here is what I have learned about Josef.
He is in the city directories for Leadville, CO in 1855, 1856 and 1857.Occupation is listed as butcher or sausagemaker.I have not found him in the 1880 census there.
Marriage certificate from Leadville is dated 04/20/1888 and their first child, Josephine Caroline is born there in 1889.By 1991 they have moved to Anaconda, MT where their first son, George Walter is born.
Josef was a suicide on 01/12/1909.The information on his death certificate was supplied by wife, Victoria.She lists his birthplace as "Germany" and birthdate as "1856."
A letter written by one of Josef's grandsons about his grandparents confirms that Josef was a butcher, that he commited suicide "shortly befor WWI" and that he was "a German immigrant."
And that is all I know so far.I would like to know more of the Joseph Peacher you found in the 1860 Illinois census and see if I can track his movements.
One more thing.I listed the name of Joseph and Victoria's 5th child as Alice.She was also known by "Elsie" and "Annie."