if my lawyer a month after a fall in the hospital sent them a notice letting them know that i am being represented by thier law firm waits for all my

I'm not really sure what you are asking here, but I think you should discuss it with your lawyer.  It depends on what your state's statute of limitation is for your type of injury.  Your lawyer will know the answer to this.  I can tell you that it is common practice to wait and settle and/or file suit until medical treatment is done, however, your attorney should always keep a very close eye on the statute of limitation and be careful not to let it run out.  You should sit down and talk with your attorney about this.  NOTE: This response is general in nature and should not be considered legal advice.  No attorney-client relationship exists or is formed by this information.