Well, one year has passed and after a legion of searches, I have come no closer to finding any more information on Adam and Alice Alexander. Searched Scotland's People, Roots Ireland, Church Records, Ellis Island records, and all censuses and passenger records on Ancestry.com/co.uk/ca. As well as The National Archives with no luck. I even looked at potential children and none.
Although there are many Adam Alexander's, none with the parents of John and Mary or Maria. I don't know if he was born in Scotland, Ireland, England, or elsewhere, but do know he served in the ASC MT 416929.
1. Would there be any other Service Records on a soldier? Besides the 41629 # in top left corner is a 21347#
2. Does the National Archives list as Last, First or First, Last Names? Adam Alexander is certainly ambiguous
3. Would there be any records which indicate where a soldier is born, or is it an assumption they are born in England?
Best Regards and thanks for all the help last year.
Alleson