Don't worry about Necroing this thread: as far as I'm concerned, Necroing doesn't apply to any of my threads. It saves space on the Forum, while reducing confusion.
There are two types of squash: Summer squashes are things like zucchini and yellow squash. There aren't that many types of them, but they're really versatile. You can stir-fry, boil, steam, bake, whatever.
Winter squashes, on the other hand, are more problematic to cook because of their toughness, but they often look amazingly weird, and there are dozens and dozens of different kinds.
For winter squash, baking it is always a great place to start figuring out what to do with it. If you don't want to use butter, I've used oil before, although yes, melted butter works great. It's good to rub it with a little salt, too, and you can bake it with things like herbs, spices, onions, celery, whatever you want to flavor the squash with--just don't overdo it, and keep in mind that the more additions you bake the squash with, the more that can burn before your squash is baked through.
They do take flavors well, though, and you can always add more flavor after baking, from hot sauce to soy sauce to maple syrup.
I'd set the oven to 325 degrees F (162 C) and bake the squash in a pie plate or baking dish for 40 minutes to start, and then check it to see if it's soft. Keep checking every 20 minutes after that, and don't cook it longer than an hour and 20 minutes--if it's not cooked yet, I'll need more information on what kind of titanium super-squash you're working with.
Once you bake them, you can then turn them into soups and stews, you can mash them, bake them into other recipes, and even eat them like you would a baked potato (I grow these tiny pumpkins that taste more or less the same as a baked potato-not sweet, but with a nuttier flavor, and nice texture. They're really good!).
They can also be boiled or steamed, and that can sometimes work better, depending on the squash, or the recipe you're using it for.
A lot depends on the type of squash, though. Those big, funky-looking winter squashes can sometimes be great, but some varieties are tough, kind of bland, and are grown more for looks than edibility, although it's surprising how many of them are really tasty. The smaller they are, the better the flavor tends to be--although that's a big generalization.
Do you have any idea what type of squash it is? If not, can you tell us what it looks like?