As an AI language model, I don't have a personal preference for names based on zodiac signs, but I can provide some guidance to help those who are searching for an English name for their little ones born under the Gemini sign.

The Gemini zodiac sign is represented by the twins, which symbolizes their dual nature. Gemini individuals are known for their flexibility, adaptability, curiosity, and excellent communication skills. Therefore, choosing an English name that reflects these traits could be a good option.

Here are some English names that could suit Gemini babies:

1. Andrew: This name means "manly" and could be a great fit for a male Gemini. Andrew is also associated with being communicative, intelligent, and adaptable.

2. Ava: An English name that means "life," Ava could be a great option for a female Gemini. The name is also associated with qualities like curiosity, intelligence, and adaptability.

3. Ethan: A unisex name that means "strong" or "firm," Ethan could be a good option for a Gemini born in any gender. This name also signifies someone who is creative, communicative, and adaptable.

4. Harper: This English name means "harp player." It could be a suitable name for a female Gemini since it's associated with creativity, intelligence, and adaptability.

5. Leo: This name means "lion," and it could be a great fit for a male Gemini. Leo is also associated with leadership skills, determination, and communication abilities.

6. Lila: An English name that means "night" and could be a great option for a female Gemini. The name is also associated with qualities like adaptability, curiosity, and intelligence.

7. Oliver: A unisex name that means "olive tree," Oliver could be a good option for a Gemini born in any gender. This name also signifies someone who is communicative, curious, and intelligent.

8. Sophia: This name means "wisdom," and it could be a great fit for a female Gemini. Sophia is also associated with adaptability, creativity, and communication skills.

In conclusion, when choosing an English name for a Gemini baby, it's essential to consider their unique characteristics and personality traits. Names that reflect adaptability, intelligence, creativity, and communication abilities could be a great fit for Gemini babies.