Here's the Leafpool/Mothwing threadthe names people suggested were these:
Fluttershipping - Leaves flutter in the wind, a moth's wings flutter to make it fly, and you know what else flutters? Leafpool's and Mothwing's hearts when they see each other~! *shotshotshot*
Nymphshipping - Nymphs are minor magical beings usually attached to places or elements. They are always depicted as women and always thought to be beautiful. Leafpool and Mothwing are both she-cats and medicine cats, granting them a special connection to StarClan (Even if Mothwing's faith is killed later on) which could be thought of as magical. Both are regarded as beautiful several times as well. Plus, a nymph is a baby Damselfly. (see below)
Damselshipping - From the old thread; Referring to the Damselfly, which is a flying bug (like a moth) that hangs around bodies of water (pools), but is regarded as weaker than Dragonflies. (Leafpool and Mothwing are medicine cats, and therefore don't fight like warriors.) [Moonrise]
Herbshipping - From the old thread; They often traded herbs, and they're both medicine cats. [Wolfheart]
Secretshipping - From the old thread; Leafpool kept Mothwing's secret about not believing in StarClan and I bet Mothwing would know if Leafpool really is Jaypaw and Hollypaw's mother. [Wolfheart]
Natureshipping - From the old thread; Moths and leaves are in nature, and they both work with herbs and stuff, which are natural. [Leer]
Organicshipping - From the old thread; See above. [Leer]
Trustedshipping - Leafpool always trusted Mothwing, and vice versa. They knew each other's secrets, and all. ;D [Mysteryfaith]
Supportshipping - All throughout the books, they've always supported each other with everything. [Mysteryfaith]
Bittersweetshipping - It's a long name (xD), but it's because their relationship is, well, bittersweet: it's so loving and caring, but forbidden, and they hate breaking the warrior code. [Mysteryfaith]
Faithshipping - Leafpool has unwavering faith in StarClan, while Mothwing has none. Also, Mothwing must have a lot of faith in Leafpool to tell her that she does not believe in StarClan. [Faded Echoes]