Russ, does it (or might it someday)
look like this?
I'm just taking a wild guess here, going by a few of the characteristics you described... & it sounds like the plant
you rescued was nearly dead, so it might not be as full as the one in the photo.
Anyway, this is a Dracaena marginata AKA: Red-edge Dracaena or Madagascar dragon tree
. If it's the same one you have, you're right... it doesn't care for direct sunlight, but mine does real well in a bright, sun-lit room. There's no point going into its care requirements & how get more plants
from it, until you confirm my guess. (I will say, though, that if this is the plant
you've got, you can do more harm than good to it & it'll drop leaves all over the place, if it's over-watered or if its roots stay too wet.)
Now... I'd like to welcome you to the forum!
I must say that I'm pretty impressed that you rescued that plant
Most of the guys I know, wouldn't even care! I just love it when men show an interest in plants
... (& I love it even better when they're not afraid of the kitchen, because I HATE cooking!)
You'll find that we're a bunch of real friendly people, eager to help each other with house plant
& gardening issues (& most of us are looking for help with ours too, so don't be shy... if you see something else you can rescue, jump right in!)
Do stop into the New Member forum, have a look around, & introduce yourself. We're like 1 big family here, & look forward to getting to know you better!