I do not work for Classic Letterpress or am familiar with their work, but in response to the above comment there are two schools of thought in letterpress:
1) Traditionally (and correctly, according to purist letterpress printers) the plate should just "kiss" the page and leave no impression. The harder a plate strikes into the paper the more damage is done to the plate (and paper).
This is not such an issue anymore as plates can easily be custom made and often a striking image is desired so it "looks" letterpressed and not as you said from an inkjet or modern press. However, when today's traditional printers are handsetting type there is still a concern of the longevity of the material as the type is usually made out of lead, which is not the hardest metal and it is increasingly difficult (and costly) to have complete sets of fonts created as much of the equipment is disappearing.
2) "Modern" letterpress allows for a striking impression left on a thicker (usually cotton) paper. It "looks" traditional because of course most people do not know what letterpress looked like hundreds of years ago, but this would not have been desireable at the time. (About as desireable as crooked printing, which there just is no excuse for. Who ever printed your job should be fired! As well as who ever allowed those pieces to go out. I do hope you asked for a reprint and/or received your money back. That's quite a shame for such a special occassion, but yes, you do get what you pay for and when considering letterpress one should definitely know what kind of work they do and see samples to ensure they are of your same "school of thought."