I have been earnestly tracking down the sources listed on that family group sheet I received. I took a break this morning and attended a webinar titled "Reasonably Exhaustive Search?". It was very good and that is certainly my goal.
I have been surprisingly successful tracking down the sources using the internet alone.
After locating and reading the passage, on page 313 of A Combined History of Randolph, Monroe and Perry Counties, Il, I have had to change my opinion regarding whether Archibald was born in Scotland. I now believe it is more likely than not that he was born there: