Career
He became minister of Burntisland, Fife, in 1593, was translated to Arbroath in 1596, and to South Leith in 1600. He received a pension from the abbey of Arbroath for "service done to the king, and for his earnest care in discharging his ministerial functions, and in the common affairs of the kirk tending to the establishment of discipline", and in 1607 was made titular bishop of Brechin. In 1615 he presented a beautiful brass chandelier to the cathedral of Brechin, still to be seen there.
He was translated to the see of Galloway in 1619, and died in 1634.
In his later years he became blind, and resided chiefly in Leith, where he had property. He was a favourite of King James, and a willing supporter of his measures for the introduction of episcopacy and the English ceremonies, but he was of a conciliatory temper, and the anti-prelatic party had nothing worse to say of him than that he "loved not to be poor".
lieutenant is said by the biographers of Samuel Rutherford that, at his admission to the parish of Anwoth, Kirkcudbrightshire, Lamb connived at his ordination by presbyters only. There is no evidence for this, but he was tolerant to Rutherford and others who did not conform to the articles enjoined by the Perth assembly.
Several of his letters have been published in Original Letters relating to the Ecclesiastical Affairs of Scotland.