Martha/Rose connection????

Paging Doctor Martha Jones…
Dr. Martha in training: off to workat “Royal New Hope Hospital”(with stethoscope in pocket)
With the first official footage of “Martha Jones” in action still an agonizing four months away (via the trailer after the Doctor Who Xmas Special) there is precious little that fans know about the character played by Freema Agyeman. The only tidbit the BBC has told us is that she is a 23-year-old medical student and last week we learned she will have a sister and younger brother (as well as a mum and dad).
This lack of information has caused wild speculation about Martha. What would make a medical doctor-in-training with family ties, “run off” with a mysterious man in a blue box? Right from the start we assume she will be a very different character than Rose, as Freema has said that Martha will be “less in awe” of the Doctor (and therefore much more of a challenge to him).
One of the best “conspiracy theories” to materialize can be found on “Outpost Gallifrey”. Some extremely observant fans noticed that a year ago in “The Christmas Invasion” when the Doctor regenerated and passed out, Jackie fetches a stethoscope for Rose and mentions she got it from a (female) medical student. Was that Martha?
Did Martha also live on the Powell Estate while she was in training at the (fictional) “Royal New Hope Hospital of London”? With Rose and her family gone after the invasion, would that affect Martha? Would she go willingly with the Doctor? Some fans argue that Russell T. Davies would not re-use the location in such a way but he has been known to spin-off events from even smaller coincidences.
So we’re going to let you decide for yourself!