The big question to ask here is HOW LONG is your faucet dripping? A leaking shower head may not actually be a problem with your plumbing.
The head of a shower is lower than the arm which extends from the shower wall. It’s the same as with a faucet, where the head of the faucet hangs below the handles. The water that has been coming out of the faucet or the shower head has a source above it. When you turn off the water, there is still some in the pipes that is going to want to come down. A ‘normal’ amount of time for a faucet or shower head to drip after it has been turned off is 3-5 minutes. If the water stops dripping within that time, don’t worry about it.
Now if your shower head is still dripping after 5 minutes, your shower head may need new washers. Additionally, if the water pressure is causing leaking through at the handles BEFORE the water comes up the shower and out at the shower head, then there may be a more serious plumbing issue. In that case, your expert resource for plumbing, heating, and air conditioning in York, Pennsylvania, Wilbur Henry, will be happy to help!