The Bible doesn't mention her name. It simply says she was the only daughter of Jairus, that she was about 12, and that she was dying (Luke 8:42).

His name is Jairus.

The Biblical character of Jairus was a patron or ruler of a synagogue in Galilee, who had asked Jesus to heal his 12-year-old daughter, who, according to the varying accounts of the Bible, was dying (Mark; Luke) or had already died (Matthew).

Jairus (Mark 5:22, 23; Luke 8:41, 42).

A Synagogue ruler who's daughter was healed by Jesus.