The incident was reported to police at about 7pm yesterday evening.
Police attended along with two fire crews and ambulance.
The elderly woman in her 80s was trapped in a Vauxhall Mokka and was freed by the fire service at about 8pm.
She was taken to University Hospital Coventry as a precaution with injuries that are not believed to be life threatening.
East Midlands Ambulance confirmed that another person was taken to Northampton General Hospital but could not give further details due to patient confidentiality.
No arrests were made.