The problem initially is that the cartridge ran dry - and the prime in your system on the black ink is lost. No ink can travel from your recently refilled black cart to the print head because a lot of air is in the way.
This air is initially purged out of the printer when you first turn it on and install cartridges. For 7-8 minutes it sucks through the print head all of the air out and ink replaces the air in the ink lines and the ink dampers and finally it travels into the print head. The fastest remedy is to re-initialize the printer using the Windows only Epson Service Adjustment Utility software. You would need to pay for it, download it, and run it on a PC. This is well documented on this site already. But, if you are concerned about costs - although it takes only 7-8 minutes to fix, it costs $20 to purchase the software from 2manuals.com and it will suck up ink from all nine channels or about 125ml or so in total. A quick fix to be sure, but costs you the most.
Kelly recommended two things to you:
1) She recommend removing ALL the cartridges, topping them off and resetting them manually before you move forward, this will give you a fresh starting point.
2) To remove the air that is now in the line, you would need to run at least 3 cleaning cycles or if you don't want to waste the other inks, you can print QTR flush image from that K channel. Follow these instructions for this procedure http://www.inkjetmall.com/tech/conte...libration-Mode
You performed 2) but you did not perform 1) which is the actual fix. Performing 2) will not remove the air from the lines - only give you a fresh starting point.
Then you realized you had a dead battery and replaced it but you still did not perform 1) on your end. So no fix.
You do not need to pay $50 to test QTR for 30 days. But, you put that off and the 3 Power Cleans did not bring ink to the head. Then you wrote you can not find the flush image. Dana is pointing you to read the instructions because that is where the Flush image is. The Flush image is on the instructions page in the form of a .zip file link for you to download. She is not trying to frustrate you. Just get you to read the instructions page that is on that link. The location of the flush images is there.
Is it that you did not see the link because you are on a PC and did not read the Mac instructions and see the link?
Or did you download them but can not find on your computer?
If the former - I recommend you shortcut the process and run the Initial Ink Charge using the PC only Epson Service Adjustment Utility. Takes 7-8 minutes. Boom - you're printing. Or you can simply download the flush images zip file.
If the latter, when you download, your browser of choice has a Preference set location where it downloads all files. This is where the .zip file will be. A .zip file needs to be unzipped and its contents will be revealed. You unzip by double clicking it. It will create a folder in the same location as the downloaded file. In this folder are the flush images.
You can pay for handholding technical support here if you prefer it to this forum: http://shopping.netsuite.com/s.nl/c.362672/sc.18/category.47401/.f