Adora is a short form for the name Adoración, which is Spanish, and means devotion, adoration, and has also other short forms, such as Dori.
However, it's a bit old fashioned. I mean nobody names their daughters Adoración now, at least in Spain, I don't know if it's common in Latin America nowadays.
I have read they named it like that because Brendon's hispanic ancestry or sth like that.