You are correct - you do USE water for a hydrolysis reaction, which is needed because in a hydrolysis you ADD water to the molecule that is being hydrolysed - specifically, you add water across a bond, breaking that bond so that one proton (from H2O) ends up attached to one product and the OH attaches to the other product.
As Borek said, look up the structures of eugenol and acetic acid. Can you think of a way to connect them together which would result in water being produced (since you've got the hydrolysed products, you can think backwards - which in this case is a condensation reaction - to try and find the original compound)?