Sir Henry Babington Smith was a senior British civil servant, who served in a wide range of posts overseas, mostly financial, before becoming a director of the Bank of England. He was related to the Babington family through his maternal grandmother Mary, a daughter of Thomas Babington, and his children took the double surname Babington Smith.

Babington is the name of an Anglo-Irish and English gentry family. The Anglo-Irish branch of the family is still extant today.