Caroline Pridham (nee Poole) wrote children's books which were published by Morrish etc.
At the moment I can't establish any link to the family of Arthur Pridham, having looked back 4 generations to the early 1700s, but there would almost certainly be a link.
From "Women in the Story of Jesus: The Gospels through the Eyes of Nineteenth-Century Female Biblical Interpreters" by Marion Ann Taylor, Heather Weir (2016)
Caroline Pridham was a children's writer born in Chester, England. In 1839 she married Thomas L. Pridham, a surgeon who worked as a coroner in Devon. The Pridhams had four children, only one of whom survived his parents. Pridham remarried after her husband's death, becoming the third wife of Lewis Gorham Wait. While she wrote as Caroline Pridham, some of her books also identify her as Mrs. Wait. Pridham was aware of developments in biblical studies, science, and archeology that were changing the way the Bible was interpreted and understood. Although she did not specifically engage historical criticism, her approach to biblical interpretation reflects a widespread shift in the nineteenth century towards a historical approach to the Bible.
Pridham began writing for children in 1883, with Peeps at Palestine and its People (1883), followed by Twilight and Dawn or Simple Talks on the Creation (1892), Domestic Pets: Their habits and Treatment (1893), Little Elsie's Book of Bible Animals (1895), and Pesablossom: The Story of a Pet Plant (1896).