The phrase "to a lower place" means moving downwards or going to a spot that is beneath where you currently are. It's often used to describe physical movement but can also apply to abstract ideas, like emotions or status.
In more advanced contexts, you might encounter phrases like "to a lower place" in discussions about hierarchical structures, such as in workplaces or social situations. For example, "After the merger, several employees found themselves in a lower place within the company."