4
Probably I misunderstood something but...
David, do you want to display several blocks with the same title
on one page?
Then you could simply create a new custom block
with the same title as the first one, (neverhteless, it will have a different id and nothing gonna be messed up), select the pages/modules where you want to dispaly it, copy the content/template of the original block to the content field of the new one and modify it as you need or have the exact copy. I have several different blocks with one and the same title throughout my site, and althouth they are simple custom html blocks, I see no reason why it wouldn't work in your case.
Hope it will be of some use