OT network printer turns on every few minutes

Mostly OT but does have some wireless content. Where should I post if
not here?

Went from this:
DSL Bellsouth
|--Westell 2100 modem(bridged mode)
|--Linksys WRT54G V4(DHCP and router function)
|--IntelNetportExpress Print Server(ethernet wired)
|--Brother HL1440 Printer(parallel cable)
|--Wired PC

to this:
DSL Bellsouth
|--Netopia 2241N-006 modem (DHCP and router mode)
|--Linksys 5-port Switch
|--IntelNetportExpress Print Server(ethernet wired)
|--Brother HL1440 Printer(parallel cable)
|--Linksys WRT54G V4(DHCP off - access point only)
|--Wired PC

Under the first setup everything works fine. The printer prints when
it should and otherwise sits in a sleepy idle state consuming a few
watts at most. I could leave it on 24/7.

Under the second setup printing also works, but the printer wakes up
every few minutes (10, 15, 20???) and goes into the print ready state;
consuming power turning on its heater, readying the paper tray,
rollers, etc.

Anyone experience this problem before and know how to turn it off? I
suspect it is the Netopia sending out a broadcast message, but I don't
know enough to know the technical terms to do a Google search for help
turning it off. The WRT54G evidently did not do this (whatever "this"
is).

Note: The above ASCII layout may require a fixed font to line up properly.

--
Ben