Going back to Child, himself, here is what I have found from the 18th century in Volume 1:
RIDDLES WISELY EXPOUNDED—A
d. Pills to Purge Melancholy, iv, 130, ed. 1719.
THE ELFIN KNIGHT—A
A broadside in black letter, "printed, I suppose," says Pinkerton, "about 1670," bound up with five other pieces at the end of a copy of Blind Harry's 'Wallace,' Edin. 1673, in the Pepysian Library.
a. A copy, by Miss Mary Fraser Tytler, of a transcript made by her grandfather from William Tytler's manuscript. b. Jamieson-Brown MS., No 15, fol. 33. [from Mrs Brown in 1783]
Gutch's Robin Hood, ii, 345, from a MS. of Mr. Payne Collier's, supposed to have been written about 1650.
THE FAIR FLOWER OF NORTHUMBERLAND—A
a. Deloney's Pleasant History of John Winchcomb, 9th ed., London, 1633, reprinted by Halliwell, p. 61. b. Ritson's Ancient Songs, 1790, p. 169.
THE TWA SISTERS—A
A. a. Broadside "printed for Francis Grove, 1656," reprinted in Notes and Queries, 1st S., v, 591. b. Wit Restor'd, 1658, "p. 51," p. 153 of the reprint of 1817. c. Wit and Drollery, ed. 1682, p. 87, = Dryden's Miscellany, Part 3, p. 316, ed. 1716. d. Jamieson's Popular Ballads, I, 315.
THE TWA SISTERS—B
a. Jamieson-Brown MS., fol. 39. b. Wm. Tytler's Brown MS., No 15. c. Abbotsford MS., "Scottish Songs," fol. 21. d. Jamieson's Popular Ballads, I, 48. [Brown 1783]
THE TWA SISTERS-Y
Communicated to Percy, april 7, 1770, and April 19, 1775, by the Rev. P. Parsons, of Wye, near Ashford, Kent: "taken down from the mouth of the spinning-wheel, if I may be allowed the expression."
THE CRUEL BROTHER—G
a. Herd's MSS, i, 41. b. Herd's Scottish Songs, 1776, i, 88.
From a small manuscript volume lent me by Mr William Macmath, of Edinburgh, containing four pieces written in or about 1710, and this ballad in a later hand. Charles Mackie, August, 1808, is scratched upon the binding.
Communicated to Percy by Rev. P. Parsons, of Wye, near Ashford, Kent, April 19, 1775; taken down by a friend of Mr Parsons "from the spinning-wheel, in Suffolk."
Percy's Reliques, 1765, i, 53. Communicated by Sir David Dalrymple.
BABYLON; OR, THE BONNIE BANKS O FORDIE—B
Herd's MSS, i, 38, ii, 76. b. The Scots Magazine, Oct., 1803, p. 699, communicated by Jamieson, and evidently from Herd's copy. [Child: "B a is from tradition of the latter half of the eighteenth century; the other copies from the earlier part of this."]
Percy MS., p. 32, Hales and Furnivall, i, 75. [1765, 1794]
THE CRUEL MOTHER—A
Herd's MSS, i, 132, ii, 191: Ancient and Modern Scottish Songs, 1776, ii, 237.
THE CRUEL MOTHER—B
Johnson's Museum, p. 331. b. Scott's Minstrelsy, 1803, iii, 259, preface. [Child: "Two fragments of this ballad, A, B, were printed in the last quarter of the eighteenth century;..."]
THE MAID AND THE PALMER—A
Percy MS., p. 461. Furnivall, iv, 96.
ST. STEPHEN AND HEROD
Sloane MS., 2593, fol. 22 b, British Museum. [15th century] Child says: Ritson gave the piece as 'A Carol for St Stephen's Day,' in Ancient Songs, 1790, p. 83,..."
MS. B. 14, 39, of the thirteenth century, library of Trinity College, Cambridge, as printed in Wright & Halliwell's Reliquiæ Antiquæ, i, 144.
THE THREE RAVENS
a. Melismata. Musicall Phansies. Fitting the Court, Cittie, and Countrey Humours. London, 1611, No 22. [T. Ravenscroft.] Child says: "printed by Ritson, in his Ancient Songs, 1790,...."
BURD ELLEN AND YOUNG TAMLANE
Maidment's North Countrie Garland, 1824, p. 21. Communicated by R. Pitcairn, "from the recitation of a female relative, who had heard it frequently sung in her childhood," about sixty years before the above date. 
THE BOY AND THE MANTLE
Percy MS., p. 284: Hales and Furnivall, II, 304.
KING ARTHUR AND KING CORNWALL
Percy MS., p. 24. Hales and Furnivall, I, 61; Madden's Syr Gawayne, p. 275.
THE MARRIAGE OF SIR GAWAIN
Percy MS., p. 46. Hales & Furnivall, I, 105; Madden's Syr Gawayne, p. 288; Percy's Reliques, ed. 1794, III, 350.
The Jamieson-Brown MS., fol. 31. b. Minstrelsy of the Scottish Border, 1802, II, 132.
Jamieson-Brown MS., fol. 29. b. Scott's Minstrelsy, II, 93, 1802, from William Tytler's Brown MS., No 9, "with corrections from a recited fragment."
THE LAIDLEY WORM OF SPINDLESTON HEUGHS
A View of Northumberland, by W. Hutchinson, Anno 1776
Jamieson-Brown MS., fol. 40.
Alexander Fraser Tytler's Brown MS., No 1: Jamieson's Popular Ballads, II, 7.
Minstrelsy of the Scottish Border, II, 251, ed. 1802. [Child says: "A is one of the nine ballads transmitted to Alexander Fraser Tytler by Mrs Brown in April, 1800, as written down from her recollection."]
THE WEE WEE MAN—A
Herd's MSS, I, 153, Herd's Ancient and Modern Scottish Songs, 1776, I, 95.
Johnson's Museum, p. 423,  No 411. Communicated by Robert Burns.
Glenriddell's MSS, vol. xi, No 17. 
Herd, The Ancient and Modern Scots Songs, 1769, p. 300.
From a transcript from William Tytler's Brown MS.
Herd's Ancient and Modern Scots Songs, 1769, p. 302: ed. 1776, I, 161.
KING JOHN AND THE BISHOP—A
Percy MS., p. 184. Hales and Furnivall, I, 508.
KING JOHN AND THE BISHOP—B
Broadside, printed for P. Brooksby, at the Golden Ball in Pye-corner (1672-95).
CAPTAIN WEDDERBURN'S COURTSHIP—A
a. Herd's MS., I, 161. b. The same, II, 100.
CAPTAIN WEDDERBURN'S COURTSHIP—B
Kinloch MSS, I, 83, from Mary Barr's recitation. b. Lord Roslin's Daughter's Garland. c. Buchan's MSS, II, 34. d. Jamieson's Popular Ballads, II, 159. e. Harris MS., fol. 19 b, No 14, from Mrs Harris's recitation. f. Notes and Queries, 2d S., IV, 170, "as sung among the peasantry of the Mearns," 1857. [from Child: "Jamieson writes to the Scots Magazine, 1803, p. 701: " Of this ballad I have got one whle copy and part of another, and I remember a good deal of it as I have heard it sung in Morayshire when I was a child."]
? PROUD LADY MARGARET—A
Scott's Minstrelsy, III, 275, ed. 1803. Communicated "by Mr Hamilton, music-seller, Edinburgh, with whose mother it had been a favorite."
Percy MS., p. 292. Hales and Furnivall, II, 328.
THE BONNY HIND
Herd's MSS, II, fol. 65. "Copied from the mouth of a milkmaid, by W. L, in 1771."
Jamieson-Brown MS., fol. 13. [Child says: "Mr. Macmath has ascertained that Mrs Brown was born in 1747. She learned most of her ballads before she was twelve years old, or before 1759. 1783, or a little earlier, is the date when these copies were taken down from her singing or recitation."]
Glenriddell MSS, XI, 80. 
a. Jamieson-Brown MS., fol. 11, [c. 1783] b. Jamieson's Popular Ballads, II, 127.
Please feel free to help me correct any mistakes that you might find.