Greaves’ father was reputedly a Londoner by birth, but settled in Nottingham, where he probably traded as a draper. He certainly rose through the corporation, becoming sheriff in 1582-3 and coroner a few years later. He also represented Nottingham in the last Elizabethan Parliament and became an alderman in 1620, shortly before his death.
Greaves sat in the first Caroline Parliament, but took no known part in debate or committee. Appointed a commissioner of array for Nottingham by the king in 1642, he spent much of the Civil War in the royalist garrison at Newark, for which offence he was dismissed as town clerk by the parliamentarians in August 1644 and his estate was sequestered. When he came to compound in May 1646 he claimed that he had been taken to Newark as a prisoner by the royalists in the autumn of 1643, but his excuse was considered unconvincing, and in July he was fined £40. In the following September he admitted to the Nottingham corporation that he had been employed by the royalists to oversee work on the Newark fortifications, albeit only for a week, whereupon it was decided to disenfranchise him. However, because ‘many are absent that he may expect friendship from, and because some other things will be made appear which yet are not’, the formal implementation of this decision was delayed and may never have been carried out. He was reappointed town clerk shortly after the death of his successor in August 1653, and was sworn in as a councilman on the 21 Dec., the same day that Oliver Cromwell* was proclaimed Lord Protector. He retired as town clerk due to age and infirmity five years later, when he was granted an allowance of £10 a year; he presumably ceased to serve on the Common Council at about the same time.
