What is the meaning of Balaunce?

Obsolete form of balance.

A (half of a) set of scales; a balance

The ensuring of fairness and justness via reasoning and consideration, especially legally.

Luck, happenstance, destiny; the passage of random events.

Endangerment, threatening; the taking of chances or bets.

Indecisiveness, unsureness, hesitation.

Libra (constellation; member of the Zodiac)

Source: wiktionary.org