A chemical signal that has both endocrine and neural roles is:

Epinephrine (also known as adrenaline) is a hormone as well as a neurotransmitter.

Melatonin is involved in blood pressure and autonomic cardiovascular regulation, immune system regulation, and also various physiological functions such as retinal functions, detoxification of free radicals, and antioxidant actions. It also helps in maintaining the balance of circadian rhythms.

Calcitonin (Thyrocalcitonin) acts antagonistically to PTH to reduce calcium levels in the blood.

Cortisol is the main glucocorticoid, helps in maintaining blood glucose level balance as well as maintaining metabolism.