Elizabeth or Elspeth Gibb (died 1595) was a Scottish courtier. She was a daughter of Robert Gibb of Carriber and Elizabeth Schaw. On 4 February 1577 she married Peter Young of Seaton, a tutor to James VI at Stirling Castle. In early modern Scotland married women did not usually adopt their husband's surnames. A datestone from their long demolished house at Seaton, Forfarshire, was carved with their initials, "1583 PY EG." James VI gave her a psalter, which he had received from Thomas Hay, Commendator of Glenluce. Elizabeth Gibb died on 10 May 1595 in Leith. Some sources say she died in 1593.