Emergency services were called to the St Marys home around 5:20am after the driver lost control on Monfarville Street, striking one of the home owners.
Roof racks were seen impaled on a tree outside the home.
Police stopped a woman я╗┐nearby after she allegedly ran from the scene with her baby.
The woman was arrested and taken to я╗┐Nepean Hospital for mandatory testing.
Both were uninjured. я╗┐я╗┐
Residents on the street said they were awoken by a loud “boom”.
“No brakes, nothing. It was just, yeah, just a boom,” one shaken witness told 9News. я╗┐
A crime scene has been established and police have began an investigation into what led to the crash.
я╗┐Anyone who may have information, dashcam or CCTV is urged to contact Nepean police or Crime Stoppers on 1800 333 000.