Hi @Bobby66 Bobby the only time you would see a progression written out in the way you describe would be on a lesson on back up - @BanjoBen does this to show students the framework of the chord progression.
This chart refers to the National; Number System . If the tune is in the Key of G the numbers represent the following Chords
1 = G - The Root Chord
2 = Am
3 = Bm
4 = C
5 = D or D7 is some times used
6 = Em
7 = F# Diminished
There are tunes laid out in chord progressions groups with vague explanations of how to use them over on the Banjo Hangout. Here is a direct link . https://www.banjohangout.org/topic/80383 I have not used that link in years but I don’t recall it having the numbers laid out in a grid pattern
If your looking for a lesson on Will the Circle Be Unbroken Click on this link.
You may find this link to an Interactive Circle of Fifths helpful if you looking to figure out the chords in another Key. Simply click on the Key letter on the left side and read of the chord names on the dial
Hope this helps.