Excellent photo. You must have fairly dark skies!
Yes, the Milky way runs through your image, although that isn't the brightest part of it.
At the bottom left you have the top of the constellation Perseus. Heading a bit towards the top right, you seem to have captured the Perseus Double Cluster - well done!
Next, you have Cassiopeia (The "W" shape). After that you have Lacerta, a fairly dim collection of stars. Cygnus, where the Milky Way gets brighter, is just beyont the top right of your photo.
Stretching across the bottom right, you have the top of Pegasus. The Andromeda Galaxy, M31,should be just above, and slightly left, of the top of the house. You might be able to see a fuzzy oval there if you stretch the image a bit.