"Give Me Your Hand" (Irish: Tabhair dom do Lámh) is a tune from early 17th century Ireland by Rory Dall O'Cahan.
According to Edward Bunting, in The Ancient Music of Ireland, this harp tune was written in about 1603 by Rory Dall O'Cahan.
“Tabhair Damh do Lámh,” or “Give Me Your Hand!” The name has been latinized into “Da Mihi Manum.” The fame of the composition and the occasion which gave birth to it reaching the ear of King James the Sixth, induced him to send for the composer.
A number of apocryphal stories have circulated about the circumstances of the tune's composition; further details can be seen at Andrew Kuntz's The Fiddler's Companion.
[4] The Fiddler's Companion says The Latin title first appears in the Wemyss manuscript of 1644 and in the Balcarres manuscript of 1692[5] and then The melody's popularity was long-lived, as attested by its appearance in many collections throughout the 18th century, including Wright's Aria di Camera (1730), Neal's Celebrated Irish Tunes (c. 1742—a revised date from the oft-given 1721 or 1726, this based on watermark research—see the appendix to the 2001 edition of O’Sullivan’s Carolan), Burk Thumoth's Twelve English and Irish Airs (c. 1745-50), Thompson's Hibernian Muse (c. 1786), Brysson's Curious Selection of Favourite Tunes (c. 1790), and Mulholland's Ancient Irish Airs (1810).