Preheat oven to 350°.
Remove white papery skin from garlic head (do not peel or separate the cloves). Wrap head in foil. Bake at 350° for 1 hour; cool 10 minutes. Separate cloves; squeeze to extract garlic pulp. Discard skins.
Combine garlic and remaining ingredients in a medium saucepan over medium heat; bring to a simmer. Cook 20 minutes, stirring frequently. Strain mixture through a sieve over a bowl, and discard solids.