Pelham had been who Warpole wanted to succeed him, after Crompton’s brief reign that happened. George II however wanted to replace him with Carteret. In 1746 Pelham and his colleagues resigned giving a chance for Cateret. However, “within 3 days Cateret was unable form a government” therefore allowing Pelham to come back stronger. The king eventually grew to like him even stopping him retiring so that he died whilst still serving as prime minster.
* This is my brief summary from the book which I have compiled to reinforce my understanding ; read this great book for more detailed character descriptions. *