A unisex name is special because it can signify both a boys’ name and a girls’ name.
Of all common unisex names in the US, only about 2.3% begin with the letter H… In contrast, only 1.7 % of traditional girls' names begin with the letter H, compared to 2,9 % of boys' names. This means that the initial H is more common in boys’ than in girls' names.
We classify names as unisex that are not just officially suitable for both boys and girls, but which have actually been used many times in the English-speaking world for both boys and girls in recent years. Some of the unisex names may have more female or male connotations for individuals, but this is often subjective and goes back to the fact that in your own circle of acquaintances, you might have a boy or man, or a girl or a woman, who has this name.