Yes, there are parents like Mrs. Pumphrey from James Herriot's "All Creatures Great and Small." Mrs. Pumphrey is known for her overindulgence and pampering of her pet, treating her dog, Tricki Woo, almost like a child. Similarly, some parents exhibit overprotective and indulgent behaviors towards their children, often wanting to provide the best for them but sometimes going overboard. This type of parenting can stem from love and care, but it can also lead to over-dependence and other issues for the children.