While not a common name, it's a creative play on 'Liberty' incorporating 'bear'.
Screen Details
While there aren't direct screen characters named Libearty, the name echoes themes found in wilderness documentaries and conservation films about bears living free in nature.
Personality Plus
Independent, adventurous, and strong-willed - perfect for a pet with a free spirit and playful nature, especially suitable for larger breeds or animals with a gentle but mighty presence.