How to get a supervisor to tell me a child's startfunc?

[Jim McCoy]

I need to discover the startfunc being used by a variety of processes
started dynamically by a supervisor and I am having a hard time
figuring out how to dig this information out of the system.  Process A
starts a bunch of children for supervisor S over its lifetime, process
B needs to do some maintenance or checking of which of these children
are running at various points in time, to do this B needs to
specifically know the start function that A used when it passed the
child spec for any particular child process in to S.  This information
does not seem to be available directly from the supervisor, so I am
guessing that there is some other place I need to look but my various
search queries seem to be missing the magic keyword that will not lead
me back to the standard supervisor docs...

Any hints?

Thanks,
jim