In Jain tradition there is no well-known Tirthankar or main Jain deity whose name starts with the English letter F, so you won’t find a “classic” Jain-scriptural name with F.

But you can still choose a Jain‑friendly modern name starting with F that reflects Jain values (peace, purity, knowledge, compassion). A few simple suggestions:

For Girls (F):

1. Falak – sky, firmament; vast and open, like a pure mind.
2. Farah – joy, happiness; reflects inner bliss (ānand).
3. Falguni – related to the full‑moon time (Phālguna); gentle, pleasant.
4. Fenni / Fenny – a soft, modern name; you can associate it with sweetness and kindness.

For Boys (F):

1. Falak – same as above; can be used for boys too.
2. Fanish / Faneesh – lord; you can connect the meaning in your family to “master of his own self” (self‑control, saiyam).
3. Falgun – from the month Phālgun; calm and spring‑like, symbol of freshness and new beginning.

Unisex (F):

1. Fia / Fiya – short, modern; your family can give it a Jain meaning like “light of knowledge.”
2. Fiyaan – a soft invented name; you may associate it with “one who walks towards light/gyān.”

You may choose the name first for sound and easy pronunciation, and in your family give it a Jain meaning: e.g., “Falak – may the child’s soul be as pure and vast as the sky, free from karma.”