How do each type of nymphs are born/created?
Each nymph article will have more in-depth information, but here is a quick rundown:
Limniads: Sometimes a plant grows an unusually large fruit, flower, tuber, etc. and a new limniad "hatches" from it.
Dryads: They manifest similar to limniads in many cases, but they can also sprout from the ground near their mother tree. Once they're mature, they break off their roots and walk away.
Oreads: They are formed in rock or soil by their respective element. They dig their way out using their great strength. For example, a chunk of granite may suddenly explode, revealing an oread inside. Or the elements (water, wind, sand, etc.) wear down a chunk of stone, carving a new oread over time like a statue. When the nymph is mature, the "statue" comes to life.
Hydriads: Manifest from healthy waters. Healthy in this case does not mean "sterile", it means water which is full of life (plants, fishes, bacteria). A magical whirlpool forms, then a fountain spits out a new hydriad.
Pyriads: Exceptionally hot flames or lava can create pyriads, but they can also spawn in extreme heat conditions, like in the middle of a desert or a refinery.
Maenads: Maenads are born from the most soulful art. This may take the form of music, paintings, written word, sculptures, or any creative work. They may jump out of a painting or book, or manifest from soundwaves during a concert, among other ways.
Isanae: They fall from the sky when it snows or hails. They are more likely to form during blizzards. They can also form like icicles, breaking off a frozen surface when they're mature.
Faunae: Sometimes animals give birth to a magic "seed" which looks like a ball of light, and this light turns into a faunae. Healthy, happy animals are more likely to spawn faunae.
Aurae: They manifest from extreme weather events like windstorms. The air combines with magic in a special way and an aurae is formed.
Pleiadae: Manifest from unusual solar events, like auroras, solar flares, exploding stars, etc.