"Messaging" is one fee (SMS, picture, and video). Used to be different but now it's all-inclusive.
Depending on your plan, you can get "IN messages" (unlimited to/from Verizon) or not.
My phone (plan) has 250 messages (no free IN) for $5/month.
My wife gets 500 messages (*with* free/unlimited IN) for $10/month.
So it really depends when your plan was originated. Some Verizon dude on the phone was reading a whole paragraph about how we had to change plans, or we'd risk being billed for data at such-and-such per megabyte (tip: "hey VZW moron, we have unlimited data w/ BB data plan" - which I repeated three times). The rub with that is that FamilyShare plans then also switch to the new plan, which would expose us ($$$-wise) should I have "accidentally" used the browser on my RAZR.