In Tudor and Stuart times, gifts were given at New Year rather than at Christmas.
Here is a musical New Year's Gift. It's an anonymous 17th Century dance of that name from Thomas Middleton's Inner Temple Masque, or Masque of Heroes, 1619.
From BL Add. 10444
Alison Kinder: bass viol
Tamsin Lewis: violin
Europe's Revels, a dance by John Eccles, from his interlude, Europe's Revels for the Peace, which was performed at court and at London theatres in 1697.
This image of the dance comes from The Dancing Master, Henry Playford, 1698