In less than 24 hours, the video has been shared more than 100,000 times and viewed well over one million.
Baby Morgan is saved by another staffer, who snatches her from mid-air after the doctor loses his grip on the child.
The video is a little hard to watch.
In an interview Rodgers said, "I told him (the hospital employee), you dropped my baby". "I did see the video and it was pretty disturbing", he said. 'He had like a nonchalant look on his face.More news: There's Another Democratic Candidate for President
The Rodgers told Fox 10 they did not get the results of the test until six weeks later.
Almost three months later, the mother says Morgan has begun exhibiting behaviors that she believes are not normal.
The couple says the hospital has not apologized and they want to know if the baby's fall is the cause of a small head injury revealed in an ultrasound. Apparently, an ultrasound had been ordered for the girl five days after her birth because of her low birth weight, but the results showed that Morgan had a grade 1 brain hemorrhage - something neither parent had been made aware of.
Monique said she had no idea testing was done at all.
According to KNXV, the parents, Derrick and Monique Rodgers, are speaking out and want an apology from the hospital.More news: Country House declared victor of Kentucky Derby after Maximum Security is disqualified
Derrick and Monique admit, aside from being small, Morgan is doing well.
But, the parents say Morgan shakes at times, which has them questioning things.
"You know, an apology when it happened could've gone a long way", said Monique.
"Because of patient privacy laws and a request from the family not to release information, we are unable to comment specifically on this matter", Chandler Regional Medical Center said in a statement to KNXV.
Chandler Regional Medical Center said in a statement that it can not comment but patient safety is always a top concern. 'The medical team at Dignity Health Chandler Regional Medical Center takes this matter extremely seriously and is working to conduct a comprehensive review'.More news: Trump attacks social media companies after Facebook bans extremists