I know what "look about" means but in this sentence, I failed to figure them out

"she looked about her expecting the owner would not be far off; but she could see nobody."

Look about means to look around to find someone, so in this sentence, I think it should be "looked about the owner" instead "looked about her" because she was trying to find the owner. Am I right?

Thanks in advance

Solution 1:

She looked about her means:

she looked at what was around her

expecting to find the owner who, she supposed, would not be too far away from her.

look about (for someone or something):

to try to locate someone or something. I have to look about for someone to serve as a babysitter. I don't see it here. I'll have to look about.

(McGraw-Hill Dictionary of American Idioms and Phrasal Verbs)