Their older children had already been vaccinated, Mrs Goldsmith said.
Being able to protect grandparents and other vulnerable members of the family was one of the reasons they wanted to ensure all their children were vaccinated.
"It doesn’t discriminate — it doesn’t matter what age, gender etc you are, you can get Covid," Mr Goldsmith said.
They had discussed the vaccination with all their children and had explained what it was and how it helped.
By protecting their children they were protecting everyone else, he said.
With hundreds of millions of vaccine doses given worldwide the science behind vaccination was solid.
"Facts and figures they just don’t lie, and it works.
"It is not a silver bullet, but it is just one tool," Mr Goldsmith said.