Wow... Yes that Theodore is mine -- I never thought about Draft registrations. His brother Frank probably also registered. (I am pretty sure that neither serve - as there have been no family stories & my understanding is farmers were needed at home.
). Since it stated Theodore was naturalized citizen -- I might be able to find paperwork that may give more info about his parents. Though, from what you said in (a). if Joseph did come early to the USA his wife & children would be naturalized & Theodore might not have paperwork? Unless Joseph died before he could go through the process?
Anna's parents Louis Nagel, Neagle I believe came with their other children in 1881?

Thank you so much for the leads