Hi,
Please do try this driver which is for Windows 7 that may work with your laptop.
Realtek RTL8101E Family PCI-E Fast Ethernet NIC Driver:
http/ftp.hp.com/pub/softpaq/sp46001-46500/sp46022.exe
If this doesn't work try getting the Hardware id of the LAN card that's missing its driver.
- Open Device Manager, right click on the LAN card that needs the driver and select Properties.
- Once opened click on Details tab, under Property select Hardware id from the drop down list.
- The hardware id should look like this: PCI\VEN_197B&DEV_0260&SUBSYS_0260197B&REV_03