C7280 prints multiple copies of any print request

[WFH]

I have a Photosmart C7280.  It is connected wirelessly to three computers at home. One is running Win7 (Home Premium), one is running Vista (Home Premium, SP1), and one is running XP (Home, SP3).   It works perfectly with the XP machine. 

However, when printing any document (simplex or duplex, single page or many pages) from the Win7 or Vista computers, it is printed on this printer multiple times. It has nothing to do with the number of copies requested.  I have reinstalled the printer software several times and it has made no difference. One time I reinstalled it I requested the test page to be printed, and I watched as it printed copy after copy of this single page sent from the installation package . I left it just to see how many it would produce. After about 25 I opened the printer activity window on the PC and saw that the status was 'Printing' as you would expect. However, as each page was produced, the status changed to 'Printing - Restarting', and another copy came out.  I suspect this would go on forever. Both parts of the Pages entry (x/y) seemed to change, with numbers I couldn't understand. Hitting Cancel on the printer just cancels that particular copy and another just comes along. The only way to stop it is to cancel the print from the PC.  This is a bit tedious to say the least.

It will print an unknown number of copies of any document sent to it from Word or Excel.  Printing from Adobe Acrobat sometimes does it right, and sometimes produces multiple copies.  Switching it off and on has no effect as it just resumes from where it left off.

I contacted HP's email support a while ago but they tried to fix the wrong problem (not printing at all - I'm not sure if they actually read the problem as I laid it out, which was much the same as I have given above).  When the issue finally penetrated it was a case of 'this is too complicated to deal with by email - you'll have to phone tech support'.  At a price though. So, does anyone here have any ideas before I spend a fortune on phone bills?  All the MAC and IP addresses seem set right (same on all machines), and turning off ZoneAlarm makes no difference.  The problem has survived a change in my wireless router.

This hasn't been a huge issue for us as most of the printing on this machine has been done from the XP machine, but that's about to get replaced and any new one will come with Win7, no doubt.  I'd like to get this resolved before that happens.