Varney is a given name. Notable people with the name include:
- Varney Anderson (1866–1941), American Major League Baseball pitcher
- Varney Monk (1892–1967), Australian pianist and composer
- Varney Parkes (1859–1935), Australian politician and architect
- Varney Sherman (born 1953), Liberian politician
This page or section lists people that share the same given name.
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