The John Losee in the Profile given was married to a woman allegedly born in 1798, implying he would have been born before or about that same time. None of the information in the profile is well enough documented or cited to make it reliable. However, if it is accurate, it possible that this John Losee would have been alive during the US Civil War.
More reseach and work to gather and cite information may result in definitive answers to your question. I notice that Losee-2 is an orphaned profile. Would you like to adopt it and look for the answers?