HI, Danny, it is this Carl Lohmann of the link that I provided that I am not sure of.
There is a Charles Lohmann who is indicated at the father of both the children Albert Lohmann and Johannes Georg Heinrich Lohmann. But I am not sure that the Carl Lohmann of the linked profile is really the right father. I've found nothing that links him to the father named Charles for the sons. The birthdate and parents I found for Albert on Familysearch and that link is in Albert's profile. My sister did Johann's profile. Source #3 gives his parents and estimated birth year. She has an exact birthdate but no specific source for that. I don't have an Ancestry subscription so I can't look at any of the details on those sources.
Thank you for validating my question, as I am deinitely NOT sure this Carl is the father of the two sons, but I do believe both of the sons have the same father if we can find him.