Can you help me with this sentence: Thanks to an errant uncle, the girls were considered trash without the benefit of being particularly poor or, courtesy of their half Spanish mother, all that white. I have problem with the meaning of this

It goes like this: He asked, 'What brings you to these parts?' 'Just dropping by,' she managed around the glass. The whiskey was bitter in her mouth. She kept an eye on him as she finished the drink and banged the empty glass back down on the

It's about a woman who is drunk although she usually doesn't drink, but she is drinking this time because she found out her sister was killed. She is talking to her uncle, formerly an alcocholic, who is surprised to see her drinking, because he

Can anyone explain the meaning of this sentence: She managed around the glass. Thanx