Why am I measuring earth to line voltage as zero? Is that what it supposed to be?
If you are measuring 0V between the hot/line pin and ground, you either have a big problem or are doing something wrong.

The most likely option is that you have your multimeter set to DC voltage rather than AC voltage which would result in the average DC level being measured which for an AC waveform is theoretically 0. You could also be measuring the wrong pins on the plug, but that I imagine is not the case.

The alternative is that your plug or house is incorrectly wired such that the neutral and hot/line pins are swapped over. In theory (from an electrical standpoint) this shouldn't cause a problem, but in practice and from a safety standpoint it is a big issue in devices which don't have an earth pin and assume that the neutral will be at earth potential.