Sorry to hear of the denial. You are correct that a 214b denial deals with presumptions of immigrant vs nonimmigrant intent, and that ties to your own country such as the ones you mention are - or should be - important.
There may be other factors here that make the consulate question your intent - perhaps you were recently here for a long time, and haven't in their view been back in Georgia long enough yet. It may, of course, just be because that consulate is notoriously difficult on B-1/B-2 visitor visas. You should speak with a lawyer directly to evaluate if there is anything specific to your case which might have caused the problem.
Ironically, some of the very reasons for your trip may be a part of the problem: having a daughter here with a green card and bright prospects may be viewed as a reason you might intend to remain here (as opposed to having a daughter here on a temporary student visa).
The only way to approach this with any hope of success is to apply again, with more evidence. We don't know what you submitted to prove all of the things you mention, but more detailed evidence may be the only thing that might help.
Speak with a lawyer - and good luck!