Hi Keith,
In the cases like you have described, 4 things need to be checked and/or replaced/upgraded:
LAN Hardware (NICs, switches, routers),
LAN Hardware (wiring - physical wires, cables),
LAN Hardware (server's RAM, RAID disks speed, etc. + WinOS version)
and ... ready?...
(drumbeat...)
... antivirus software configuration!
If the LAN H/W is identical in both cases, then the difference may be in the presence and/or configuration/tuning/mode in which your A/V program is dealing with the packets transmitting over the net.
I remember the case when our client's Sys Admin had to use what he called "siffer program" in similar situation (slow network).
What he finally found was that his Norton A/V was checking every single packet, and these packets were only 16 KB in size... The rest is everybody's guess... ;-)
HTH.
Regards,
Ilya