The Missouri State Archives has the probate documents for William S Burroughs, Case 24451, filed 1898. The paper file is broken down into pdf files of 5 pages each. In the 1st file, labeled Collection 1, on page 2 is a note that states, "Order to turn over, assign and deliver to Nina K White, legacy, 10 shares of the Amer Arithometer stock par value $100 per share."
Here is a link to the probate court records search page: http://www.sos.mo.gov/archives/mojudicial/
If you use the search name Burroughs the results will bring up the files for both Ida and William Burroughs.
David in Pennsylvania