The following are meant to try to help you get farther back and don't really require a response. I am not a Baar but was browsing for a friend.
The 1910 census return you have has some clues: his age and where he, as well as his parents, were born. Also, get the age of his daughter and where she was born. That line will also give you the state where her mother was born.
Remember that the 1890 census was destroyed by fire so your best bet is to find them in the 1900 census (the birth places plus Nebraska should help you find them). Assuming William (John) is over age 30, look at the 1880 census for him. That probably will give you the names of his parents. From what you wrote, I am assuming the daughter is married. Her age will tell you whether to look for her as a child of her father in the 1900 census or as a wife.
If you do not have online access to the census returns, check with the nearest LDS Family History Center. They have online access and you can print out the records for your famil/y.
If this information is known to you, my apologies.