Cooney suffered no broken bones in the accident and was able to talk and move at the hospital before doctors put him in an induced coma.
Mrs Cooney said it was a good sign that he was able to walk and talk after the incident.
She said the compulsory safety vests the jockey's had to wear probably saved him from worse injuries.
"If it wasn't for Frank's vest we are sure he would have a lot worse internal damage.
"We have had so many calls and offers of help it has been amazing but for now we are just waiting," Mrs Cooney said.
The last serious accident at Alexandra Park was in March 2008 when Cambridge driver Tony Shaw was hit on the head by his sulky after it flipped when his horse fell at full speed.
He required brain surgery and Shaw, a New Zealand Cup-winning driver, has not driven since, although he has made a full recovery.