Very happy with the Inn at the Market
The Inn was a lovely place to begin and end our cruise vacation to Alaska. 
Location is the key to this property. From SeaTac Airport, we took the light rail to the last stop which was just a couple of blocks walk to the Inn. Going to the cruise terminal, the Inn is just a 10 minute cab ride. 
I believe we purchased one of the least expensive rooms for the hotel, City View-standard, and it exceeded expectations. A spacious room, large bathroom, overlooking the hustle and bustle of 1st Avenue. The beds were comfy, no issues with noise for us despite previous concerns from other tripadvisor guest reviews. The weather cooperated with warm temps and sunshine upon arrival into Seattle so we spent very little time in the room and took advantage of the rooftop patio. Watching the activity on Puget Sound while enjoying some of the treats from the Market... fresh picked rainier cherries, delicious handmade cheese from Beecher's, & some Oregon Pinot made our visit to the Inn very memorable. It was a great way to meet some of the other guests who were equally thrilled with the weather and setting. 
The staff was very hospitable. They certainly treated us well. Everyone we came in contact with was helpful. This is a very busy area with the Market next door, yet whenever we needed help with a cab, reservation, directions, etc... there was always a helpful member of the staff ready to offer assistance. 
Whether your destination is Seattle or just passing through, you'll be happy staying at this memorable hotel.