I'm not finding any previous mention of this book here... stumbled on it today:
Some British Ballads, illustrated by Arthur Rackham, published by Dodd, Mead & Co., New York, and T. and A. Constable, Printers to His Majesty, at Edinburgh University Press. Wickipedia gives the date as 1918.

It's available online in various formats from the New York Public Library at the Internet Archive, here.

No music is given, of course, just the texts. The illustrations are color plates (listed below), and woodcuts (or pen & ink drawings). Not every song has an illustration.

There is this note:

Several of the Ballads in this book are based
on the great work of Francis James Child, The
English and Scottish Popular Ballads, permission
to use which was generously accorded by the
publishers, Messrs. Houghton, Mifflin and Company,
of Boston, U.S.A., to whom the grateful thanks
of all concerned in the production of this book
are offered.

I suspect they all are from Child (no other sources are given), but don't have time at the moment to check 'em.

Contents:

Clerk Colvill
The Lass Of Lochroyan
Young Bekie
Chevy Chase
The Gardener
The Gay Goshawk
Lord Thomas And Fair Annet
The Twa Corbies
Young Akin
The Lament Of The Border Widow
Erlinton
Babylon
May Colven
Binnorie
Get Up And Bar The Door
The Riddling Knight
Lady Elspat
Johnnie Of Cockerslee
The Old Cloak
Proud Lady Margaret
Yonge Andrew
Sir Patrick Spens
Lord Randal
The Twa Brothers
The Duke Of Gordon's Daughter
The Baron Of Braikly
The Lochmaben Harper
The False Lover Won Back
Lamkin
Bonnie George Campbell
Prince Robert
Earl Mar's Daughter
The Death Of Parcy Reed
Hynd Horn
Helen Of Kirconnell
The Bailiff's Daughter Of Islington
Rare Willie Drowned In Yarrow
The Gypsy Laddie
Clyde Water
The Lady Turned Serving-Man
Earl Brand
Earl Richard
The Fair Flower Of Northumberland
The Wife Of Usher's Well

List Of Illustrations In Colour:

Clerk Colvill
Young Bekie
O Waken, Waken, Burd Isbel
The Gardener
The Twa Corbies
Erlinton
May Colven
Get Up And Bar The Door
Johnnie Of Cockerslee
Yonge Andrew
Lord Randal

I offer this not as an authoritative source for texts, but because of Arthur Rackham's lovely illustrations.

~ Becky in Tucson