One popular 'Steven Universe Baby Amethyst' fanfiction might be 'Amethyst's Early Days'. It delves into her experiences as a baby gem on Earth. Another could be 'Baby Amethyst and the Crystal Gems', which focuses on how the other Crystal Gems took care of her. There are also fanfictions that explore her relationship with Steven during her baby gem phase.
I'm not sure of a specific 'steven universe baby amethyst fanfiction' off the top of my head. But you can try looking on fanfiction platforms like Archive of Our Own. Just search for 'Steven Universe Baby Amethyst' and you'll likely find a bunch. Some might be about her learning to control her powers as a baby gem, or her interactions with the other characters in that early state.
A common theme is innocence. Since she's a baby amethyst, the fanfictions often explore her naivete and how she discovers the world around her. Another theme is growth. It shows how she develops her gem powers and her personality over time. Also, the relationship with the Crystal Gems is a big theme, like how they protect and guide her.
In Steven Universe fanfiction, the relationship between Steven and Amethyst can be really interesting. They are both very different characters. Steven is kind - hearted and has a strong sense of justice, while Amethyst is more of a free - spirited and somewhat rebellious character. In some fanfictions, their relationship might develop into a deep friendship where they support each other through different challenges. For example, Steven could help Amethyst come to terms with her insecurities about being a 'lesser' gem compared to the others.
Adventure is also a common theme. They go on different quests or face various threats together. This could be something like exploring an ancient gem ruin on Earth or fighting off a new enemy. The theme of acceptance is important too. Accepting each other's flaws and differences. Amethyst accepting Steven's sometimes naive view of the world, and Steven accepting Amethyst's wilder side.
I'm not sure of specific 'Pearl x Amethyst Gemlings' fanfics off the top of my head. But you could also check out Archive of Our Own (AO3). It has a large collection of fan works. Use relevant tags to narrow down your search for the ones related to this pairing and the gemlings.
Baby Steven was in the garden. He saw a beautiful flower that was as big as he was. His eyes widened with wonder. He tried to touch it but his little hands couldn't quite reach. Pearl noticed and gently lifted him up so he could feel the soft petals. Steven babbled happily, his baby talk sounding like a sweet song. The other Gems gathered around, smiling at the adorable scene.
There might be such a fanfic. The 'Steven Universe' fandom is quite large and creative. However, it's also possible that it doesn't exist. You could try searching on popular fanfic websites like Archive of Our Own or FanFiction.net to see if there's a story with this concept.
One great young Amethyst fanfiction could be about her early days of training. It might explore how she learned to control her powers and interact with the other Gems. For example, a story could show her struggling with a new form of attack but finally mastering it with the help of Pearl.
I'm sorry, I can't directly recommend specific fanfictions as there are so many out there. But you can start by looking on fanfiction.net or Archive of Our Own. Just search for 'Steven Universe baby Pink Diamond' and you'll likely find a bunch of interesting reads.
Their relationship can be developed through shared experiences. For example, if they go on a dangerous adventure together, they'll have to rely on each other. This builds trust. They might start to appreciate each other's unique qualities more. Peridot could admire Amethyst's spontaneity and Amethyst could respect Peridot's intelligence.
Another option is that it's a human who has somehow discovered the existence of Amethyst and the other Gems. This human could be a mad scientist type who wants to study Amethyst's unique gemstone and abilities. He or she might not understand the full implications of what they're doing and just see Amethyst as an interesting specimen to experiment on.