Answer:
No, the Milky Way does not contain "other" galaxies. The Milky Way is a galaxy unto itself. It has two small, irregular "sattelite" galaxies associated with it called the Large Magellanic and Small Magellanic Clouds, but they are not visible from the Northern Hemisphere in this epoch. The next nearest galaxy is Andromeda, which is about 2.5 million light years away. It is estimated that their are 100 billion galaxies in the known universe.