Actually, her soundcard is the Tascam. On board soundcards are useless for this kind of thing. If it is music production and she needs low latency performance to play from her keyboard and use instruments from the computer, the only option is to use a decent soundcard/interface so I hope that Tascam has ASIO drivers for the OS your wife is on. And that the Samsung USB mic has XLR.
On the other hand, as Craig Anderton pointed out, Sonar has recently made a significant improvement to the WASAPI driver handling which specifically improves latency performance of on board sound cards. To be honest, for me it didn't get any kind of satisfactory results. But it might just let you guys get by using the USB Mic (over USB) and the on board soundcard (scratch the Tascam). Worth a try.
If you would be coming here for advice on how to create a basic recording setup I would recommend you get a current budget USB interface/soundcard like the Focusrite Scarlett series, and any kind of mic with an XLR cable. You run the risk of spending lots of time trying to make things work properly and getting frustrated with the program and your music creation. You (or your wife) would be far from the first person I've seen give up the whole deal because they couldn't get anywhere near a smooth process quickly enough.