Baby choking on milk?

Ho

Okay so please help! The other day my baby woke up, choking, coughing, her eyes all puffy, crying and milk just pouring out of her nose I was terrified and called EMS while holding her like on her stomach while patting her back (like burping.). When they got here she had calmed down but I was shook seeing my baby like that, she is only a week hold. EMS said everything looked fine but sometimes it may be a burp in the way that isn’t coming up or she ate to fast or to much but she only ate two ounces and this happened Two-three hours later when it woke her in her sleep. It is kind of still happening and it is really scaring me. If I lay her down in her bassinet, which is kind of elevated she will still have milk coming out of her nose and start coughing but if she is on my chest she is fine.. any suggestions or anyone has dealt of dealing with the same thing? (She is drinking formula)