Sorry, I missed that Nina re-married a man named White. You should try contacting Dennis Northcott at the Missouri History Museum, email dpn@mohistory.org. Dennis is the archivest for the museum and very helpful. Here is a link to the Missouri History Museum website:
http://genealogy.mohistory.org/genealogy/ .

I did a search of their website genealogy index and nothing came up for Burroughs. However, Dennis has access to the complete collection of the museum and may very well find what you are looking for.

David in Pennsylvania