Bagshaw is an English surname. Notable people with the surname include:
Amy Bagshaw (October 10, 1988 - age 24), international gymnastChristopher Bagshaw (1552–1625?), English academic and Roman Catholic priestElizabeth Bagshaw (1881-1982), Canadian doctor and medical director of the first birth control clinic in CanadaHarry Bagshaw (1859–1927), English cricketerHenry Bagshaw (divine) (1632–1709), English divineJohn Bagshaw (1784–1861), British politicianJohn Stokes Bagshaw (1808–1888), a manufacturer of agricultural machinery in South Australia.William Bagshaw (1628–1702), an English presbyterian and nonconformist minister, known as the "Apostle of the Peak".