Recent studies indicate that liver cancer cells possess a receptor called the GABA-B receptor that when activated, inhibits the spread of cancer cells in test tubes. One of the drugs that activate these receptors is Baclofen, an agent that was originally developed to treat patients with various neurologic disorders. In this study, patients with recently identified liver cancer will be treated with Baclofen in an attempt to prevent or delay spread of the cancer beyond the liver. The time it takes for liver cancer to spread in the patients will be compared to the results obtained from patients enrolled in previous studies where Baclofen was not used.