I would be interested in knowing something more of your ancestor, Hiram Alexander. Do you know where he was born and what his birth year was?
I have a Hiram in my Alexander line (brother to my Mary) who was b. 6 Oct 1812 in Iredell County, North Carolina - although the place could be wrong. His older siblings had been born in North Carolina but my Mary, who was born in 1814, was born in Kentucky during the family migration west to Indiana. It's possible that Hiram was also born in Kentucky.
It would seem that the Hiram that I have would really be too old to be Gertrude's father - but grandfather?The reason, besides the name, that I am curious is that other of this family ended up in SE Iowa also.