Neaves was born in
Edinburgh on 14 October 1800, the son of Charles Neaves (1777–1868), a
Forfar solicitor and clerk of the Justiciary Court in Edinburgh, and his first wife. His father later married Mary Anne Wilson (1792–1887), sister of
John and
James Wilson. Neaves was educated at the
High School and the
University of Edinburgh. He became a member of the
Faculty of Advocates at age 22. He married Eliza Macdonald in 1835. They lived (c. 1833) in a large Georgian townhouse at 47 Queen Street in
Edinburgh's New Town. They moved in 1845 to the more prestigious address of 7 Charlotte Square. From 1841 to 1845, he was
Advocate Depute, and from 1845 to 1852
Sheriff of Orkney and Shetland. He became
Solicitor General for Scotland in 1853, being succeeded by
Robert Handyside, Lord Handyside. He served as a judge of the Court of Session from 1853 to 1858. From 1858 to his death, he was
Lord of Justiciary, Scotland's supreme criminal court. Neaves lived the majority of his life in Edinburgh, but when associated with the Justiciary Court, he travelled to
Glasgow thrice yearly and Lord Neaves (although elderly and almost without hearing capability by 1875) acquired a reputation in Glasgow as a man of justice and evenness. Charles Neaves had acknowledged skills as a composer of verse. He was vice-president of the
Royal Society of Edinburgh (1859–67, 1868–73 and 1874–76), and a president of the
Heriot-Watt Institution. From 1872 to 1874, he held the post of rector at the University of St Andrews, the oldest university in Scotland. The rector chairs meetings of the University Court, the governing body of the University of St Andrews. Neaves was a regular author of poetry and essays to ''
Blackwood's Magazine'', only a fraction of his work having been republished. He is buried in the family plot in
Warriston Cemetery in Edinburgh with his second wife, Elisabeth MacDonald (1811-1888). His first wife, Mary Anne, is buried in a south section of
Dean Cemetery. ==Evolutionary analyst==