Yeah, those are the general signs of a head failure. On the ones I've done, there are two common failure points - between cylinders through the water jackets, and in the exhaust port. My last two were one of each. Depending on the failure, the coolant goes in the crankcase, out the tailpipe, or out the radiator overflow.
If you pull the oil dipstick and you see water or milky oil, it's usually the first one. If you leave the radiator cap off with a full radiator, and crank it to start, compression will blow coolant out the radiator neck even before the engine starts if it's really bad. It will gently push water out if it's cracked but seems to run OK.
If you get almost no water on the dipstick check, and you notice a lot of morning startup steam from your tailpipe, it's usually the second one. If it's either failure, you're into a pair of heads. You can do a final verification by having a radiator shop (or some parts stores loan testers) do a pressure test on your cooling system to locate the leakdown.
Fortunately they are fairly inexpensive, and improved over the originals so it shouldn't happen again. Stuff to watch for after fixing that are the lifters (bad design catches crap , then releases it all at once to clog flow), the rocker arms (some were not very well hardened and wear at the valve tip), and high temps. Keep your oil and filter changed to help the first two, and avoid the last one with regular cooling system and component checks and maintenance. Finally, when assembling engine parts, follow the factory directions exactly, and use a torque wrench to get all fasteners to their proper spec. These engines do not like "it's close enough" assembly.
Every engine design has it's issues. Most of the Cologne V6 engine designs and manufacturing quality are pretty good. Some are not.
David