Sceadwian is right...chances of you finding the *exact* connectors are pretty slim, doesn't mean to say you're out of options though.
0.75" pitch? I don't tihnk I've heard of that...2mm seems really popular in the computing world (its a standard in japan I believe)...although I'm sure you measured correctly.
As for 0.05" pitch, that a standard anywhere, headers, both male and female, or crimp housings.
You could always just hotglue the black connector on its side to a bit of plastic or something, then solder wires to some pins (taken from a standard header), poke them in, and soler the other end of the wire to a 0.05" female header. Then just hold the whole lot in place with more hotglue. (Hotglue can always be removed easily, but holds things in place).
Its a dirty idea, but it should work, plus its not completely permenant or destructive. Either way,when you find the connectors or not, you're gonna have to solder
One more thing, long ****, but if you know the model of the laptop, you could search ebay for 'spares', as they seem to have LOTS of wiring assemblies for various laptops, whether its flex cable or monitor connectors.
BluriedCode.