Help my baby ate a piece of a label!

I had just given my 8 month old daughter a bath, and after putting oil on her, I started to put on her pajamas. I was so focused on putting on her pajamas on her legs since she was so squirmy and moving around a bunch. When she started to gag and I noticed she had the oil bottle (those small sample bottles) in her mouth. She was chewing the bottle's label off. But she started to choke, so I did what you're supposed to when a baby is choking (turned her over and did back blows). She was fine afterwards but seemed like she still had stuff in her throat. She seemed fine after a minute though, and was happily smiling and playing afterwards. I'm worried about the label. Is it possible it's stuck in her throat still? Or did she swallow it all? Will she poop it out? Should I take her to the ER? She seems completely fine now. She drank her bottle happily and fell asleep afterwards.

Thank you!