wire charger directly to laptop battery

What internal connector are you referring to, the DC connector, or the battery connector?

You can't wire a battery directly to the charger. Charging a Lithium-Ion battery requires a somewhat complex charging control circuit. Well, I shouldn't say you can't; you can, you just run a really high risk of blowing yourself up.

Connectors are easy to replace. Which is broken?

Take the laptop apart and solder a new port onto it, they cost like $4 on ebay.

If the mobo traces are broken in a visible area scrape the insulation off of the pcb and solder a heavy gauge wire to the surface to bridge the trace. I'm not sure of the repair method for the inside layers of multi-layer circuit boards.

do not place leads on a battery, you will die