Yes, her medicine cat apprentice was Runningnose.
ShadowClan Rogue ThunderClan
because he killed his dad (Raggedstar) who was the leader of shadowclan, then blamed it on yellowfang so she was exiled so brokentail became the leader of shadowclan then he received his leader name brokenstar and nine lives.
Yellowfang was the ShadowClan medicine cat before the book Into the Wild by Erin Hunter until Raggedstar realized that she had kits, which is forbidden for medicine cats. She dies as the medicine cat of ThunderClan trying to save Clanmates from a fire.
Spottedleaf was ThunderClan's medicine cat before Yellowfang. She was a skilled healer and had a strong connection to StarClan, guiding her in her duties to help her clanmates. Tragically, Spottedleaf died in a battle defending ThunderClan from ShadowClan.
Pebbleheart Redscar Mossheart Molepelt Sagewhisker Yellowfang Runningnose Littlecloud Flametail
ShadowClan never found out, so she wasn't punished by them. However, the fact that she gave birth to Brokenstar/Brokentail was punishment enough.
Because they would have found out sooner or later.
Mosspaw and Volepaw were murdered by Brokenstar. (Then, he exiled Yellowfang) NOTE: Mosspaw and Volepaw are ShadowClan apprentices. They were too early to be an apprentice when they were apprenticed during Brokenstar's leadership. To Brokenstar, Mosspaw and Volepaw were too weak so he murdered them. Also Mosspaw and Volepaw's mother is Brightflower. If you want more information, read Secrets of the Clans, or go to Warriors Wiki.
From Thunderclan: Spottedleaf&Bluestar Riverclan: Silverstream Shadowclan: Yellowfang Windclan: Onewhisker
Yellowfang dies during a fire that takes over the ThunderClan territory (RiverClan provided protection for ThunderClan until the fire was over). Yellowfang was trying to save an elder (NOTE: Firestar was there when she died)
It is unknown if she has mentored any apprentices.
Yes. There is one with ShadowClan and supposedly in the last hope there will be a final battle with the cats from the place of no stars and their apprentices and starclan and the rest of the cats.