1.) A profoundly unattractive female member of a fictional aboriginal people called "the Goons," featured in the old "Popeye" cartoons. Alice had a squiggle for a mouth and a flowerpot for a hat, and wore a grass skirt, of sorts. She fancied Popeye as a love-interest, but Popeye wanted nothing to do with Alice, understandably. However, she was much larger and stronger than Popeye (when he was sans spinach, anyway), and she would pick him up and croon, in a robotic monotone, "I love Popeye. I love Popeye," while he struggled to get away.
2.) A term used to describe an unattractive female.
I swear, that lady who runs the hot dog stand is the original Alice the Goon.