"No Temple Now, No Gift of Price"

When I wrote a post about the Biblical sources for "No Temple Now, No Gift of Price," I noticed a small musical feature to note.  The hymn is sung to the tune "Kirkwood."  Here's the third phrase:

In the fourth verse, the text here is "The road that Jesus trod."  Aside from the first note, the melody is conjunct (going step-wise down the scale), and there's a connection between these musical steps and the walking mentioned in the text.