My guess is that it isn't a Model A.
I was interested in the name of the ship, since we had an SS Beaver here, of the same era, but it sank near Stanley Park.
That ship was the GW Shaver, built by Shaver Transportation, in 1889. It was renamed the Glenola in 1902, then rebuilt in 1906 and renamed the Beaver. It operated until 1934.
That info, and the photo, are from the book Aboard the Portland
, and a higher resolution version of the photo is linked here
Note the spare wheel on the car, the tail light, and the band across the body below the rear window, and possibly down the sides.