Okay,

1) It is not unusual for the husband to go somewhere (or "on ahead") for work. So, let's say that E. K. went on ahead for work, and Lydia put his name on the census. This happened quite a bit, the wife would put the absent spouse down (my great-gf made it onto two different 1900 census sheets that way.)

2) Let us say that the date of the marriage is messed up and she really is the mother of:

#1) Winfield
#2) Elizabeth
#3) Joshua
#4) Joseph
#5) Emily
#6) John
#7) Hulda

The best thing to do is check and compare all of the census sheets for all of the children from 1880-1930 and see where they list their mother as being born. (Maybe she had his child out of wedlock...holding my hand to my mouth.)

3) Let's question they date of the ox-wagon trip. 1) maybe she took the trip more than once, or maybe the date is more like 1866s. Have you looked at possible Iowa or Colorado state censuses?

I have seen so many errors by children giving the were in the heck their parents were born, when they were born, and who the parents (the grand-parents) of their parents are. Between them and the people taking down the data, it is a best guess sometimes.

My great-great-grandmother was born in: New York, New Jersey, District of Columbia, Virginia, France in general, and Paris. She was also born in 1827, 1829, 1830, 1831, and 1833. And I confident that the date of birth on her gravemarker and burial record (given by her son) is wrong! These kids were either too busy or to dumb to care to get it right. And, the person make the death record, didn't care or have the time to audit the information given by the informant. Trust nothing. You have to build a consensus and go with that.

I looked and looked for my g-g-gm's family. I had a suspect in mind from the start, but just a week ago I found church newsletters for the Seventh Day Adventist that linked the two families together. This link is the only one that I have so far, but it has convinced me that I was correct.

Anywho, keep on looking!