check the network adapter settings and see if the file and print sharing is ticked.

Yes, File and Printer Sharing for Microsoft Networks is checked.

latest PCL drivers installed for that printer. Hp not MS drivers?

Yes. Direct from HP's website, with version numbers double-checked to make sure I'm up to date.

Print directly to the printer
=====================================

1.  Click Start, Click Control panel, open Printers
2.  Right-click the HP LaserJet.
3.  Click Properties.
4.  Click the Advance tab.
5.  Click Print directly to the printer.
5.  Click OK.

ALso Restart the Print spooler services
from run-->services.msc

1. Okay, that eliminated the Event 315 at startup. But why the Restart print spooler services in services.msc if we're printing directly to the printer? Do I have to restart the spooler service after every morning boot?

2. Here's something else I noticed. I had to reinstall Windows Media Player after installing SP1. When I did it, I got an icon in Network listing "Windows Media Player Network Sharing Service." As soon as that happened, the 315 event disappeared. Then, as a test, I disable that service and on the next startup (not restart) the 315 error reappeared. Does that tell you anything.

3. As I said, with spooling turned off in printer properties, the 315 error is gone, but can you please tell me what I lose by not spooling? Thanks for your time.

UPDATE: To double check after disabling spooling in printers properties, I shut down twice. First time, 315 error was gone. Second time it was back again.

Without print spooler you cannot schedule the print jobs, nor track the print jobs. On a large network with many printers managing prints would be difficult.

And why do you think the 315 event does not appear on startup when I have "Windows Media Player Network Sharing Service" set to start?

The event is for Print services not for the Network services.

I understand, but nevertheless, the 315 error does not appear when WMP Net Sharing is enabled in services. Perhaps the XML data from the error will yield some clues:

- <Event xmlns="http://schemas.microsoft.com/win/2004/08/events/event">
- <System>
  <Provider Name="Microsoft-Windows-PrintService" Guid="{747EF6FD-E535-4D16-B510-42C90F6873A1}" />
  <EventID>315</EventID>
  <Version>0</Version>
  <Level>2</Level>
  <Task>30</Task>
  <Opcode>12</Opcode>
  <Keywords>0x8000000000000820</Keywords>
  <TimeCreated SystemTime="2011-03-17T13:41:42.808039200Z" />
  <EventRecordID>85</EventRecordID>
  <Correlation />
  <Execution ProcessID="1840" ThreadID="3044" />
  <Channel>Microsoft-Windows-PrintService/Admin</Channel>
  <Computer>MN-PC</Computer>
  <Security UserID="S-1-5-18" />
  </System>
- <UserData>
+ <ShareFailed xmlns:auto-ns3="http://schemas.microsoft.com/win/2004/08/events" xmlns="http://manifests.microsoft.com/win/2005/08/windows/printing/spooler/core/events">
  <Param1>2114</Param1>
  <Param2>HP LaserJet P2050 Series PCL6</Param2>
  <Param3>HP LaserJet P2050 Series PCL6</Param3>
  </ShareFailed>
  </UserData>
  </Event>

Okay, I'll have to download and install GPMC. I'm on a Dell 980 and the WIN7 OEM did not come with it. Are these instructions on download accurate: http://www.addictivetips.com/windows-tips/how-to-install-the-group-policy-management-in-windows-7/ ?

Next, I just want to make sure you understand that I can in fact use the network printer; it's connected to a switch which in turn in cabled to my router. I can print using my WIN7 server and I can print wireless using a Macbook Pro. What I'm trying to eliminate is the 315 Event I get on each startup, which seems to be caused by an initial failure to connect then immediately a successful connect.

If you think this is the correct download procedure of GPMC, I'll proceed. BTW, from a handful of forums posts elsewhere I gather others also get the error even when the printers share with no problems.

Here's a solution that's worked so far:

https://www.experts-exchange.com/questions/27593425/printer-question.html

I've tried everything now, all the suggestions posted here includng
net stop lanmanserver
net start lanmanserver

Error will disappear for a few days then return. There does not seem to be a way to insure that the Server service always starts before the spooler.

The Event 315 warning with the 2114 error is common on many listservs and sites. The only solution I have not tried is to reinstall a driver that seems to be running perfectly. I called HP support, which wanted to charge me for the call (until I pointed out that I had four HP devices and the fee was ridiculous. Their solution: install their postscript universal driver. Nonsense. I don't need or want a postscript driver. Worst tech support on the Web. No wonder their bottom line is in the tank and their under reorganization.

At any rate, from my untutored point of view, this is clearly a Win7/64 problem and most of the traffic indicates it only shows on 64 systems that have installed SP!, which I have.

I was hoping that one of the cognoscenti here might unravel this.

NOTE TO MODERATOR: Can we try one last time to repose the question in areas where you think there might be progress. Thank you.