The Dane is the house!

Pretty girl!
My very similar looking GD mix is exactly the same - he was a rescue but was picked up as a stray at about 3 months old.  EVentually she will let you move without jumping up to go with you but it will take some time - he finally will let us move around the house but not to the door without him (age 16 months)
He too is very high energy and a daily long walk is necessary for everyone's sanity.  As others have said the gentle leader stuff is good, we have the harness and it is very good.

He will come bother me while I type and it cracks me up that he can put his head right on my keyboard.  usually though he just gets under my arm and lifts it off the keyboard []  makes for many typos

he's doing it to me now as he wants his walk so off I go

Pretty girl. Our Tigger used to fold his ears up.

It sounds like she is doing great in her new home so far and you and her will both have an adaption period.  We have all had that panicked what have I gotten myself into feeling.  It will pass, eventually. 

I think if you want to change her name, go for it.  I can tell you that my dogs both have so many nicknames that are in no way even related to their real names and they answer to all of the ones I use on a regular basis so it really shouldn't be a problem.  People change their new dogs names when they get them all the time. 

When in confinement, whether it be in a room or a crate, I would definately invest in a kong or any other brain thinking treat dispensing toy.  Izzy was horrible in her crate at first and now she runs to it every morning when she can tell I am about to leave b/c she knows she will get a treat.  I think I also fed her in there at first too to make it a "good" place to go.  If you do a search about kongs, a lot of people stuff them with their meal and that keeps them occupied for awhile. 

As for bonding, I would take a puppy or basic obedience class.  This is a great way to bond and to teach her not to do some of the things you don't like, like jumping on people etc.  Even if she already knows some of the commands, it will just help to enforce them and show her you are her leader.  This will get her brain working and probably wear her out a little.  Izzy would sleep the night away after her puppy class.  They will also work on the pulling and leash walking in some of them as well which is important b/c getting a good walk in will probably really help wiht the energy as well.  Remember, a tired dog is a good dog!  Good luck! 
 
BTW, she is a beauty!

[linkhttp://www.clickerlessons.com]www.clickerlessons.com[/link]

Yes, you can teach her a new name and a lot more!!!!  And, it won't take long.  Chances are that she heard the old one in a pretty negative way if they thought it was ok to just smack her. 
I have a 75 year old client who walks his Dane in a Gentle Leader.
www.premierpet.com.  Some Danes do ok with the Easy Walk, too.

Congratulations, she's beautiful.  She reminds me of my GD/lab I had years ago, the people "had to get rid of him because he outgrew the kids and kept knocking them over."  I swear, people sometimes [sm=angry.gif] me!  Once we took a basic obedience class, gave him regular exercise sessions, he was fine.  He did pull me, so the trainer recommended a prong collar, I gues they didn't have the GL's yet.  It helped instantly.
This year when I rescued my GSD, he acted exactly like your girl.  Full of energy, licking me, glued to me, knew some commands but was too busy running around the house to pay attention.  He'd pull on the leash, too.  But he had a surgical wound on his neck and wore a harness, I had no control.  I bought him a GL, watched DVD & read manual, our first walk was rough, he wanted that GL OFF!  But, he got used to it, by the third time, he was fine and no more pulling.  I found that running him in the yard, playing a bit of fetch helped too.
Good luck, again, she's beautiful! 

Congrats! She looks like a cutie. [] Don't worry those "OMG what did I get myself into" feelings are normal the first few days/ weeks  as you adjust to the new addition in your life.
 
Clicker training should work great for a new name. You can also do the "name game" with her. Say her name, when she looks at you give a treat. Repeat several times throughout the day.
 
Walking a big dog can be a challenge for us vertically-challenged gals! Ours did not care for the halti, so I never tried a GL. We did use a sporn harness for awhile, and it really helped. We just walk them on regular flat collars now. If you do decide to try a sporn harness really make sure the pads fit correctly under the arms, so the straps don't rub. There are so many collars, halters and training aides to try for walking, I'm sure you will find something that works well for you!
 
Watch out for counter surfing! Until you trust her in the house, don't leave anything yummy on the counter (thawing meat) or on top of the fridge. Danes are tall enough to grab what they want off the top of the fridge when they are on their hind legs. Just make use of cupboards until you trust her not to get grabby with yummy on the counter treats.
 
Sitting takes some practice for the giants. When you say "sit" it seems to take the signal awhile to move from brain to butt. It will never be a snappy sit. It takes Shaq forever to get his legs in position, and slooooowly lower himself into a sit. He knows what I want, and he wants to comply, it just takes longer for the big guys to sit then a lab or a border collie.
 
There are several dane owners, and lots of giant dog owners on the board. We all love to talk about our BIG babies, and give advice to new giant dog owners.[]

I just wanted to say Congratulations!!!!  What a beautiful girl, Bless her little heart. How lucky she is to have found you[] She is gorgeous!!!