Won't print properly. Have cleaned the head and run the alighment program. Keep getting a Print Cartridge Alignment Failed message. No black at all even thought I put a new cartridge in.

Have you tried setting the color to black cartridge only. You may be printing the black with a combination of colored inks. I occasionally have a similar problem. Sometimes I can get the black to work by taking a paper towel dampened with distilled water and holding it against the cartridge print head until I see black ink coming out. Replace the cartridge and try printing again. If this doesn't work try a new cartridge and run through your Printer Settings, making sure they are all set properly.

Go to the settings on your computer hit properties and do an alignment, sometimes if you take out the ink cartridge and put it back in it will say do you want to do an alighment, then after the page prints you have to scan it, then pick which one looks the best

If Printer heads health condition is not good, alignment wont completes..
Four individual cartridges & Two print heads, each print head prints two colors.. Black& Yellow, Cyan & Magenta.. Verify which color is not printing properly(Color missing Or white bands)..
Perform 2 or 3 times print head cleaning through printer menu..Try for alignment.. If success end.. if no, replace the print head which is not printing properly.. Before replacing the printer head ensure that cartridge ink should be above 30%...

On this HP the print head is not part of the cartridge. How do you know the print head is fine? Did you just try to do a test page without an alignment?
I know that HP (they suck) will not help you because you are past warranty - Google your question since I am sure that you are not the only person to have experienced this issue.
I think you have a bad print head.

if the cartridge is not flowing...I would NOT soak it in water as that can flow back into the cartridge...remove it and use a q-tip with rubbing alcohol to clean...then you can use toilet paper to rub across it to make sure its flowing...you should get a solid black line...be sure not to touch where the electronics connect to it...if you do, clean it with the alcohol also

Clean the encoder strip with alcohol free glass cleaner and a couple of qtips. The encoder strip is the clear strip of plastic that runs behind the print head assy the width of the printer it tells the print head where it is in relation to the page. If it is dirty you will have a hard time with alignment

All colors need to be present to pass alignment. Usually what I see is the yellow is empty. You can blot the print cartridge on a damp paper towel to verify the inks are working and this also cleans the head.

I have found that if I put in an old aligned page the printer reads it as and the alignment is accepted. As for the cancelled message being in the window, I have had this problem too. I've ignored it and selected the copy button and it took the command. The only problem with hitting cancel is that you cannot turn off your printer. Every time you do you have to repeat the aligning and cancellation process.

Head Align Failed

well, what i did, and it seemed to work, in the short run anyway. i took and threw my hp in the back of a waste management truck,  then i called amazon.com and i ordered a new epson printer,