Chuey

Chuey is a pet armadillo owned by Terrence and his family.

History
After Homer made a gap in the backyard fence (uniting his yard with Terrence's), Chuey walked up to the gap and Terrence introduced him as "Mexican Chuey, not Star Wars Chewie".

Santa's Little Helper and Snowball II also came to the gap, checked out Chuey and started playing with him. Even after Chuey rolled himself up into a ball, they kept on playing with him, batting him and sending him rolling around the yard.

Behind the Laughter
In Mexico, "Chuey" is a common nickname for boys whose given name is "Jesús".