Hellrider is correct. That thread you are referencing is not particularly clear, and "main star" really should be "primary star w/o other stars".
Ah, hello again. As the author of "that thread", I'm curious: what exactly do you think is "not particularly clear"? (To be honest, reading that here of all places did give me a chuckle

) By the way, ELWs in a white dwarf main star system are exceedingly rare regardless of what they are orbiting there, so it doesn't really matter what other stars might or might not be in the system.
#5099 - Loving Mother is: 1) ELW directly orbiting a carbon star; 2) high above plane for excellent views; 3) has a well-written description and photo, and yes, those are things we care about.
1,400 ly above inside the core counts as high? If you say so. More importantly, since you said that's a well-written description, I read it, and well... Let's just say that every sentence had at least one error in it. Of course, if I just point this out, that's not exactly constructive criticism, so allow me to give an edited version of similar length that should still stay true enough to the original theme:
"Loving Mother is a carbon star located 1,400 ly above the galactic plane, and what distinguishes it from the many other dying stars in its vicinity is that it hosts a habitable Earth-like world. This system is among the oldest in the galaxy, having formed almost 13 billion years ago. However, for much of Loving Mother's life, none of its planets would have been habitable. Once the giant was nearing the end of its life and began fusing helium into carbon, its light dimmed enough that the sixth planet would become habitable.
This system would offer a nice opportunity for explorers journeying through the galactic core to stop for a time, and rest while marveling at a rare wonder of the galaxy: young life having formed around an ancient star."
Note that I'm not an astronomer, so if I made some errors regarding that there, my bad.