The Medicine Cats of Floodclan

Just like the leaders of Floodclan, the medicine cats are also part of the same family line. However, due to them also honoring the ruling of medicine cats not having mates, most future medicine cats pick their apprentices from their sibling's family. 

I was not going to backtrack that far back. Plus, a sprinkle in some lore.

Rootleaf's waited quite some time to take on an apprentice, knowing that he'd be picking from the grandchildren of his brother Clovereye. Clovereye and his mate Robinleap had three, Tansyroot, Yarrowleap, and Laurelburr. Yarrowleap opted to leave Floodclan at a point, not wishing to deal with the pressure that came from his father's lineage. 
Tansyroot and Laurelburr took it on as a competition. Laurelburr became mates with Bumblespot, while Tansyroot found interest with Bumblespot's sister Dovebloom. 
Laurelburr and Bumblespot only ever had Sagenose, to the latter's disappointment. Such disappointment was furthered when it became apparent that her daughter had no talent for medicine. 
Tansyroot had more luck when Dovebloom gave birth to their daughters Longstripe and Brightcloud. However, neither seemed to have the best talents for medicine either. Rootleaf though saw more potential in Brightcloud as he came closer to his time and took her as his apprentice.
Longstripe had little love to the traditions their family seemed to be bound to, with no wish to subject her future kin to live with that sort of pressure. 
Sagenose took the opportunity of her cousin's declaration, pairing with a Gorgeclan warrior named Hawkcry to have her children Whitepaw and Emberpaw. Brightcloud saw this as an opportunity to heal some of the family wounds between them by picking one of the two as her apprentice. 
Whitepaw lied and said he wished to learn so to let there'd be less pressure on his sister. 
Both apprentices are much closer to Longstripe out of their whole family.