Of yours, I like:
HaydenHelenaHonorHonoraHarperHadleyHarlow
Mine
HadleyHaydenHana /
Hanna /
HannahHazeHeathHelenHelenaHyacintheHaniaHathorHatshepsutHedwigHeidiHelleHestia
I recently found a book from the 1930's with botanical names, here are a few nice H names:
Halesia - silver bell
Haliana - from a proper name
Hamelia - tropical shrub
Hatiora - spineless epiphytic cactus
Helxine - baby tears