Eileen Bradpiece illustrated a number of feature pages for Swift Annual and Robin Annual over a number of years, 1953-59, often doing more than one page a year. Beyond those pages I have been unable to find anything else by her bar one illustrated book. In the 1980s, she illustrated a number of privately printed titles including a 10" x 7" soft cover book for children which she both wrote and illustrated.
The only Eileen Bradpiece I have found in genealogical records is Eileen Mary Bradpiece, born 25 October 1919, who died in Sussex in 1993, aged 73. Whether this is 'our' Eileen I don't know.
Books for Children
The Story of Roland the Rocking Horse. Jedburgh, Paeony Press, Nov 1985.
Jiggle Woggle Bus by Joan Howard Drake. Leicester, Brockhampton Press, 1957.
Growing Tall: An Edwardian Childhood by Elfrida Manning. Farnham, Signland, 1980?
The Travelling Teddy Bear, and other stories by Bessie Hancock. Farnham, Surrey, privately printed. 1986?