I've not yet looked for a marriage (I'm not very lucky finding such things), but perhaps if you've not already thought of the following...?
[I cannot open your link; I'm sure it has something to with my computer]
* Are there other articles in the link that you could check to see if they are accurate? If there are other articles and they are accurate, perhaps "your" article is somewhat accurate as well (minus the date of the event). If there are other "stories", perhaps your tale was made up for some unknown reason.
* Is it possible to find an old photograph of the building in which Mr. Haskin lived, to see if could have been possible for Eliza to have seen her father walking toward the building? If the building was in an isolated spot - where she could see for some distance, she could have had time to round up some items. If the building was on a busy/crowded street, would she have had time to spot him, gather some things and then head toward the back door?
(Obviously, the photograph would have been taken years after she could have lived there; perhaps there might be a drawing of the building and surrounding land?)
* After a quick search, I've not found Alonzo in 1850. Have you found this census yet and if so, was he living in Wisconsin at the time?
* Perhaps the story came about to explain a possible quick marriage (c1856/57)? Or, perhaps it was embellished to create a memorable event? Or, perhaps it was true, just with an incorrect date affixed to the tale.