Donovan, 37, gave birth to daughter Scout at Leeds General Infirmary on Friday and her husband Johnny I'Anson, a BBC Radio Leeds presenter, has thanked NHS staff who delivered her.
The weather presenter married I'Anson in a rustic ceremony at a farm in Knaresborough in 2018, with fellow Look North anchor Harry Gration conducting the service.
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They live in Chapel Allerton, north Leeds, with their two cats.
Donovan is originally from Grimsby and is the daughter of former Rotherham United footballer Terry Donovan.