To me that looks like HP/DELL/"OEM" power/front panel (?) OR Creative's front audio header on some X-Fi class cards and Audigy 2 ZS.

It is on a daughterboard that handles speakers and the mouse pointer on an "Ultra" branded laptop . The connector does not appear to actually be removable, it it looks like maybe the individual wires can be unpicked - but I can't see how to do that and worried about damaging it.

KMight be able to replace it with one of those green phoenix screw terminals.

Yeah, you know those cheap PCB connectors where you have a plug with individual crimped pins clipped into a plastic holder, and a socket that's a barely functional frame around pins soldered to the board?

This is the cheaper alternative, there's no connector, the pins on the "plug" directly have a solid-ish point sticking out and that's soldered, a bit like omitting an IC socket...