I have an ink system failure Oxc19a0036 on my C6380. I have restarted several times without success. Is this similar to the Oxc19a0023 error, or is this something different?

Call 1-800-HP-Invent. They will walk you through a procedure to reset the ink system. You'll need to get a senior tech to do it, and it's a 50/50 shot as to whether it'll fix it.
You may have to pay for this service if the unit is out of warranty.
HP will usually take your word as to purchase date initially, so if it's out of warranty, LIE...just be aware that they will only believe you once and you will have to provide proof of purchase to get any further service!

You may want to try this link:
http://www.out-of-warranty.com/ink-system-failure-error-0xc18a-hp/

It has helped fixed a lot of ink system failure issues..

I have done some searching on your problem. It seems like there is some kind of a Microsoft problem with your machine. You should try uninstalling your software and then upgrading the following:
Windows Installer
XML parser
.Net Framework

After you have upgraded these components as far as possible, try installing the software again.

Sources:
http://h30434.www3.hp.com/psg/board/message?board.id=Install&thread.id=3779&view=by_date_ascending&page=1

http://h30434.www3.hp.com/psg/board/message?board.id=Install&thread.id=3779

HP has several documented install errors but I cant find one that matches your description:
http://h10025.www1.hp.com/ewfrf/wc/documentSubCategory?tmp_rule=14548&tmp_task=solveCategory&lc=en&dlc=en&cc=us&product=356028
0&lang=en

Please attach a screenshot of your error message. If you cant attach a screenshot then please do your best to retype all of the information in the error message.

Thanks

Give this a try? This should solve it for you.

http://h10025.www1.hp.com/ewfrf/wc/document?docname=c00489814&cc=us&lc=en&dlc=en&product=3560280

Give this a try.

http://h10025.www1.hp.com/ewfrf/wc/document?docname=c00489814&cc=us&lc=en&dlc=en&product=3560280

Hello,
The ink failure error is caused by air in the ink feed tubes in your printer. This happens when the ink in your cartridge runs out and the printer sucks up air instead of ink. We have a step by step repair solution for this error posted on our web site at: www.ccl-la.com click on the printer repair pages and follow the links to your printer series.

I hope this helps, If so pleae rate our solution.

Buddy
Corporate Computer
www.ccl-la.com

Give this a try...

http://h10025.www1.hp.com/ewfrf/wc/document?docname=c00489814&cc=us&lc=en&dlc=en&product=3560280

Try this...

http://h10025.www1.hp.com/ewfrf/wc/document?lc=en&dlc=en&cc=us&product=3560280&docname=c01458034

Depending on when you get the error message, there are a number of things you can try.

Check this...

http://h10025.www1.hp.com/ewfrf/wc/document?docname=c00489814&cc=us&lc=en&dlc=en&product=3560280

Read the first paragraph carefully.

TRY THIS
Press and Hold the "Print Photos" & "Red Eye Removal" buttons. Release both buttons. Display should say "Enter Special Key Combo"
Press and release in sequence "Red Eye Removal", "Print Photos", "Red Eye Removal"
Press and release the right arrow button until the display says "System Configuration Menu". (on C8100 use Touch Screen)
Press and release the "OK" button.
Display should say "Support". Use the Right arrow Key to look for "Reset Menu".
Press and release the "OK" button.
Press the right arrow key to look for "Partial Reset", press 'OK'
The printer will go off and will power on by itself, else wait for 20 seconds and power on the printer to complete reset

reset process for c6380