Evesham studied sculpture under Richard Stephens, a Dutchman who specialised in alabaster work in the 'Southwark' style, at his studio in that town.
He also studied metal engraving, and one such inscription remains: a memorial to one Edmund West, dated 1618.
Between 1600 and 1615, Evesham was living and working in Paris, creating monuments for major figures, including one of the Archbishop of Sens, for the cathedral of Notre-Dame.
His many English works include monuments to the poet John Owen, which was in Old St Paul's Cathedral, destroyed in the Great Fire of London.
A monument to Christopher Roper, 2nd Baron Teynham was executed in the 1620s, and still stands in the family chapel in Lynsted church, Kent.