We need a photo.
Lines between certain stamps near the perforations was part of the production process where two printing plates were join. BUT what is confusing in your description is referencing a "block of 3" of coil stamps. Coil stamps normally come as a strip of 3, not a block. Sheet stamps come as blocks of three up to 100, depending on the issue.
Edit:
Oliver Wendell Holmes was also issued as a booklet stamp format. That would allow for blocks of 3 with some straight edges. Again a photo would help explain what you have for the answer you desire.
Here is a coil pair with the line I mention:
