If you would like more information on the Latham family, the Moniteau County Historical Society has quite a bit of information including pictures, names, dates, etc. from the time the family started in the town that would later bear the name of Latham to the time of the closing of the hospital in the early 1970s.
The website is www.moniteau.net
and a link directly to the society is on the left-hand side. The email is firstname.lastname@example.org