OK I'm not quite understanding your setup. Post title is "solar charge controller as a dc-dc charger" and then you talk about having a laptop power supply with a 19v output.
Where is the 19v power supply drawing its power from? An AC source like a 120v AC house current?
If you have AC power, why not just use a standard 120v AC charger? No need to go through the solar controller, just attach directly to the battery to charge it up. There are even "smart chargers" that monitor your battery state to keep it at the right kind of charge (bulk, float, etc.)
Or are you saying that you don't WANT to have to buy another 120v AC charger and since you already have the laptop power supply that takes in 120v AC and puts out 19v, you want to run that 19v through a solar controller so it can regulate that down to the 13 - 14v you need to charge the LIFEPO battery?
Seems a bit Rube Goldberg-ish but I suppose it would work. How many amps is the 19v PS putting out?