Here's something I didn't even know I had. When going through some blocks of used stamps, I came across this example:

I actually had to look up where Cadams, Nebraska is on a map and it seems to be little more than farmland as best as I can tell. As I couldn't find a post office in that community, Jim Forte's Postal History web site suggests that it was a discontinued post office all the way back to 1940.
Since postmarks from that location can't be all that common, it surprised me when I found 6-8 of these postmarks on these Washington Bicentennial Series blocks.