M^2:
Follows are coordinates for GPS90 control datums in our area. These were/are used in calibrations of the GPS network, so the datum heights are quite well known and established. These are vertical controls, with the coordinates converted to NAD83, a common gps receiver setting for our area. These are in very public places, though somewhat hidden from casual users. Take a 12" straight screwdriver along with you.
FWIW: most casual-use GPS receivers are set to find horizontal positions most accurately first, and the altitude gets found only if you have enough sats in view.
SY5759
N 47° 41.811 W 122° 08.472 (NAD 83)
Altitude: 34
Coordinates may not be exact. Altitude is VERTCON and location is ADJUSTED. Location: In KING county, WA View Original Datasheet
Designation: GPS90 3D4
Marker Type: horizontal control disk
Setting: set into the top of a round concrete monument
Stability: Most reliable and expected to hold position/elevation well.
SY5751
N 47° 43.054 W 122° 09.933 (NAD 83)
Altitude: 314
Coordinates may not be exact. Altitude is VERTCON and location is ADJUSTED. (more info)
Location: In KING county, WA
Designation: GPS90 1C1
Marker Type: horizontal control disk
Setting: set into the top of a round concrete monument
Stability: Probably hold position/elevation well.
You can find more info on the web about GPS control points across the globe. An easy way is to create an account on geocaching.com, a subset of that sport/game is locating survey monuments and benchmarks. A geocacher made them part of one of his geocaches, which made it even more fun.
As far as "calibrating" your gps - the biggest error source is having multipath errors due to signals from the sats bouncing off of nearby buildings, hills, trees, etc. Notice these control points are set in large open areas, specifically to minimize those errors. Also, surveyor-type instruments typically use averaging over long periods of time to achieve sub-1m accuracy, along with techniques like differential GPS. A subset of DGPS is to set your receiver to allow or enable WAAS, aka "wide area augmentation system", where local ground stations (air and sea nav radio stations and the like) broadcast signals that your gps receiver can integrate with sat info to better locate you.