Hi Steven, I haven't been able to detect any connections. I was told a long time ago by persons more knowledgeable than myself that there were clusters of the Caspary name around Berlin in the 18th C, that is, the Caspary name assumed or required by law among various Jewish families who were not necessarily related at all. Caspary became a popular name during the assimilation movement as far as I can tell. However, that doesn't rule out some connection - I just haven't found one other than the name "Ida" several generations after yours. I mean, given the surname conventions, it could be your Ida was my Ida's namesake in given name.I don't think the site will allow a link but maybe you can see my Casparys at:
My family definitely came from Seelow on the Oder, and perhaps earlier from Krojanke, Poland further east. Eventually they came to Berlin in the 1830s or so, and two branches came to New York and Milwaukee, respectively in th 1880s.
Please feel free to email me ( I see yours is hidden or I would have emailed you.) firstname.lastname@example.org