Looks like there are four secondary conductors leading away from it. If the cores are stacked (which sounds like the only plausible arrangement), they must be pretty small capacity.
Greg, do you remember what this transformer supplied power to? I'm not too sure I have ever seen a poly-phase pole transformer before...seen lots of pad-mounted ones.

Great find, too. Older equipment finds like this are fascinating...the older, the better.

Mike (mamills)