I have listed all the editions I know about: if you know of more please let me know.
Flying Horseman
Illustrated by Sheila Rose: -Dent 1959
Reprinted in the Dent Pennant series, 1964
The Mystery Trek
Illustrated by Sheila Rose: Dent 1964
Appeared in a Children’s Book Club edition
Foal of the Fjords
Illustrated by Wendy Marchant: Dent 1966
Appeared in a Children’s Book Club edition
Penny and Pegasus
Dent 1969
No Place For Ponies (USA: The Mystery Pony)
Illustrated by Maurice Tulloch: Dent 1954, USA Criterion, 1957
Reprinted in the Dent Pennant series, 1963
The Deep-Sea Horse
Illustrated by Mary Shillabeer: Dent 1956
Primrose Cumming - Bibiography 4
Rivals To Silver Eagle
Illustrations by Eve Gosset: A & C Black 1954
Left: 1st edn. Thanks to Amanda Dolby. Right - Dent Pennant edn. Many thanks to Alison Rushby for the picture. Far right: undated variant printing.
Thank you to Sheila Green for the Dent picture
Left - the very rare Deep Sea Horse. Many thanks to Nicola Hudson for the picture.
Many thanks to Dawn Harrison for the 1st edn picture of Foal, and to Susan Bourgeau for Penny.
USA: Criterion Books 1957
interior illustrations Maurice Tulloch
Cover art "design" by W. Lawrence Hoffman.
Note that while the design is Hoffman's, the artwork is still Tulloch's.
Info: Susan Bourgeau