Here are Jain-friendly names starting with the letter H, with simple meanings:

Male names

• Harsh — joy, delight
• Hasmukh — smiling face, cheerful
• Hitesh — one who rules or holds well, good intention
• Hemant — the winter season; also a cool, serene vibe
• Hemendra — lord of gold; a precious, valued person
• Himmat — courage, resolve
• Harendra — king of compassion or the bright lord
• Harsukh — happiness and joy
• Hiteshwar — lord of good thoughts
• Hemendraji — a respectful variant of Hemendra (often used as a respectful name)

Female names

• Himani — ice, snow; pure and clear
• Hemlata — beauty of gold or golden beauty
• Hema — gold, precious
• Himanshi — one who has a sky of thoughts; full of warmth
• Harini — deer; graceful and gentle
• Hasini — smiling, cheerful
• Hiral — fragrance, sacred charm
• Hirani — deer-like, graceful
• Hansa — swan; purity and nobility
• Heli — sunlit, radiant

If you’d like, I can tailor the list to a specific style (traditional Jain names, modern names, or names tied to particular Tirthankaras or virtues) or provide meanings from Jain sources.