Final answer:
Prolactin is a hormone produced by the anterior pituitary gland and other tissues, primarily known for inducing milk production.
Step-by-step explanation:
An example of a hormone produced by more than one gland is prolactin. The anterior pituitary is known for producing a number of hormones, including growth hormone (GH), thyroid-stimulating hormone (TSH), adrenocorticotropic hormone (ACTH), and prolactin. Among these, prolactin is also secreted by other tissues, such as the immune system and the central nervous system. It is primarily known for stimulating the production of milk in the mammary glands. While hormones like TSH and ACTH are specifically associated with the function of other endocrine glands, prolactin has a broader spectrum of effects.