It is trivial to do this in Ubuntu 10.04. The question is specific to Ubuntu 12.04.

This has nothing to do (does it?) with right click.

How can an indicator's icon in Ubuntu 12.04 be matched with the program responsible for it's manifestation on the top panel?

A list of running applications can include all processes using System Monitor.

How is the correct matching process found for an indicator?

(the examination of SM points out a rather poignant factor in the faster depletion and shortened run time on battery - the ambient quiescent CPU rate in 12.04 is now well over 20% when previously it was well under 10% in 10.04, between 5% and 7%!)

(I have a problem with the battery indicator - it sometimes has % and other times hh:mm - it is necessary to know the ap. & v. to get more info on controlling same. ditto: There are issues with other indicator aps.)

Details from:
How can I find Application Indicator ID's?

suggests looking at:
file:///usr/share/indicator-application/ordering-override.keyfile

[Ordering Index Overrides]
nm-applet=1
gnome-power-manager=2
ibus=3
gst-keyboard-xkb=4
gsd-keyboard-xkb=5

which solves the battery identification, and presumably nm is NetworkManager for the rf icon, but the envelope, blue tooth and speaker indicator aps. are still a mystery. (Also, the ordering is not correlated.)

Mind you, it was simple in the past to simply right click to get the About option to find the ap. & v. info.

browsing around and about:

file:///usr/share/indicator-application/ordering-override.keyfile

examined:
file:///usr/share/indicators
file:///usr/share/indicators/messages/applications/
...

perhaps?/presumably? the information sought may be buried in
file:///usr/share/indicators