The 42-year-old motorist collided with a bus while it was turning a corner at Fulton Drive, Johnstone around 9.30am.
Inspector Cassie Glass, of Johnstone Community Police, said the mother and her nine-year-old had to be taken to hospital for a precautionary check up.
No passengers on the bus were injured.
Both of the vehicles had to be uplifted and the road was blocked for several hours.
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