What is a name that means innocent?

Innocent!

Several Popes and early Christian saints were called Innocent or Innocence, so it is definitely a sufficiently respectable name to write on a birth certificate.

Here are some names from other languages that mean "innocent".

Bhola (Hindi, masculine).

Masoom (Arabic, masculine).

Safa (Arabic, feminine).

Here are a few names that have meanings related to the idea of innocence. All are feminine.

Daisy (Scandinavian) is a flower representing innocence (although its literal meaning is "eye of the sun").

Gurit (Hebrew) means "innocent baby".

Laveda (Latin) means "washed", which has the suggestion of being "purified" or "made innocent".

Rachel (Hebrew) means "lamb", an animal that is associated with innocence.