I have just bought a HP 110 Mini 3017tu that came with XP, and I wanted to upgrade it to Vista. To do this I blew away the old install and downloaded the Vista drivers from HP. Unfortunately, not all the drivers were there, and I was locked out of using the computer how I wanted.
The network driver is a RealTek RTL8101E, and this can be found here. The autoinstall program is probably the right one.
The WiFi driver is Ralink RT2860, and this can be downloaded from RaLink
With those tow installed, the computer will probably operate a heap better. The video drivers can be downloaded from Intel. It is an Intel GMA 3150, and can be downloaded here
With those bits of software things should be a heap better. One issue I had was installing the Service Packs so I could install .NET Framework 3.5. To do this I installed Vista, then the SP1 and SP2 download installs. Then I used LiveUpdate to install the framework.