I wanted to post a couple more photos in the hope that they will be helpful in an identification. I apologize for my pictures, I don't have the best camera. Some of the leaves on this orchid appear "pleated" while others do not (I don't know if that's from dehydration, I see that the psuedobulbs appear wrinkled; also not sure if that's normal, I am assuming not but I'm also not an orchid expert).

There is a new growth growing from the side whose leaves appear smooth (not pleated):
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Here's the flower stalk:
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I am guessing there were a few flowers per "branch":
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Planto

You will never get a positive id on an out of flower orchid. It might be a hybrid from the Oncidium sub-tribe and there is a chance that it might be Oncidium Sharry Baby. Google Oncidium Sharry Baby for pics and cultivation notes.
Plant looks in pretty good shape.

arthurm,
I understand about the "out of flower" part. I was afraid of that but figured it was worth a shot. You mentioned that the orchid looks in pretty good shape. May I ask you if there is any need for concern with the psedubulbs looking wrinkled? It's hard to see in the first photo I posted, but where the leaves attach, they look sort of squished, do you think they'll be fine? Thanks for your response. I really don't know that much about orchids and it was quite the surprise finding this one!

Planto

I wouldn't worry about the accordion leaves they will not straighten out but are not a problem either, they might be due to not enough moisture at some stage when that pseudobulb was a new growth.
The pseudobulbs are there as storage units of food and moisture during hard times so the new growth might be getting some nourishment from the mature pseudobulbs. So do not worry about a few wrinkles.
Find complete cultivation notes that relate to Zone 8 for Oncidium Sharry Baby so you know how to get your plant through winter. If it is that orchid you will find it rewarding and easy to grow. Even if it isn't the cultivation notes will apply.

arthurm,
Thank you for the information. I forgot to mention in my last post that I did look online at pictures of Oncidium Sharry Baby. My orchid looks a lot like the photos and I believe that is what it may in fact be. I did quite a bit of research last night so I hope I know enough of the basics to keep it alive. Thanks again.

Planto

If it is Sharry, give it lots of light, sunny window and they don't like to dry out completely. They also do well with cooler nights over the winter. They are easy plant to flower and you want to encourage those new growths as they will produce the next round of flowers.

I agree with Arthur that the plant looks in good shape.

Jane

Jane,
Thank you for the information, it's much appreciated.

Planto

I repotted this orchid yesterday in a bark mix. I was sure to add charcoal to the bottom of the pot for additional drainage and sphagnum peat moss as top-dressing for added humidity. It's a few inches away from my south window where I'm hoping it'll bounce back from the previous owner's lack of care. I found a Dendrobium orchid on clearance at Lowes the other day for $2 and picked it up. I think I've developed an orchid bug, so I blame it on the person who dumped the Oncidium orchid by the dumpster!

You can sort of see the Dendrobium in the back. Sorry for the poor image quality, photographing in front of a lit window is a pain:

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A view of the new "home":
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I could be wrong but I think the psuedobulbs have unwrinkled just a little bit. I know they won't ever been plump and smooth again but at least I feel like I'm doing something right. :)

Thanks for your help Arthur and Jane.

Planto

Looks great! Welcome to the addiction. Some of the orchid societies offer 12-step programs. Never worked for me...

Jane

Jane,
Thanks for the compliment... and the laugh!

Here's a photo of the Dendrobium I found the other day:
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Planto

I have a question that I should of asked in my last post. I accidently broke some leaves off of the "cane" (or is it "bulbs" on my Dendrobium when repotting it yesterday. The "bulbs" or "canes" are only about an inch to an inch and a half tall.

My question is, will this negatively affect the plant somehow? Will they regrow new leaves or will they just die down the road (I think I read somewhere online that the "canes" die eventually just like the pseduobulbs on the Oncidium turn into "backbulbs" and die off eventually). I can deal with a little unsightliness, I just want to make sure I haven't gravely harmed the plant.

Thanks again,

Planto

Your photos are not showing. Check to make sure they are public.

Can't advise on your Den without seeing which canes were broken. If they are new, growing canes, they should continue to grow new leaves. If they are mature canes, they will not grow any leaves.

You are correct that the older canes will eventually die off. Leafless, older canes can still flower. In the photo, you will see a leafless cane with a flowering spike.

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Jane