Several solutions come to mind.
A 'proper' digital camera such as my Fuji A180 or Panasonic DMC-FX01 will record video and sound to an internal SD card which you can plug into a PC or transfer via USB.
Another is a USB microphone. A very decent one is a Citronics model. Then you use the laptop's camera or, USB cameras are very cheap and give better picture quality and greater positional flexibility, many have built in mics. have one that I use for Skyping my son (because 'king Skype keeps losing the internal camera!) I am pretty sure they come with some basic recording software? I shall check.
When I Skype I wear a headset and that goes to a small USB dongle, a TECKNET device which is a A/D+D/A converter and works very well. I see no reason why a USB camera AND a USB mic should not work? Or even a camera and USB interface as mentioned.
I assume in all this you are trying to keep expenditure to a minimum?
Many years ago my son have to send a real time recording of him on guitar to audition for a job on ships, We ran a mic into a Behringer mixer in the bedroom "studio" and the mixer feed to a DVD (Freeview) recorder in my living room. I borrowed a camcorder and ran the RCA comp' video out to the recorder as well. He didn't get the job...those shipboard musos are GOOD!
Do let me know if any of the above interest you and I shall try to rig a test.
My USB camera does indeed record video but not, AFAICT sound. However if you set Audacity recording and record picture playback gives both. I also suspect you could do all of this in Reaper or at least edit the results?
Or! just come to me, can you not Skype the chap in real time? He will then get sound and vision (and I know a USB mic works in Skype) and can even record the call.
Dave.