Who prescribed you physical therapy? That doc did not know why s/he is sending you to physical therapy for? I am really very sorry to hear that your mom thinks, you are faking but unless she says it explicitly, give her a benefit of doubt. The economy as it is, anyone can get fired for a petty reason and she just wants to hold on to her job.
Your fall and headache can or can not be connected. I am just not too sure but here is what you can do, Maintain a diary recording your headache episodes, record as much details as possible. Assuming you are a female from your user ID, if you have already started getting period, record that too. Talk to your mom or school nurse about it. If you are a guy, ignore this thing.
Most likely, you have a smartphone and there is an app called as Migraine Notebooks for iOS as well as Android. Its the best free app I came across. It does have shortcomings but you can still live with it. Otherwise, you can make a spreadsheet and record as many details as you can think of. More the better.
Your excel sheet can contain following columns
Time Headache Began
Time Headache Ended
Any Warning Signs (e.g. Aura, stiff neck)
location of Pain (as much details as possible)
Type of Pain (Throbbing/Piercing/Pressing etc)
Intensity of Pain, 1=least, 10=Worst
Other Symptoms, Nausea/Vomiting etc.
Medication(dose) / Other treatment
Effect of Treatment (did headache end? reduced? stopped? or no effect at all)
How Headache affected daily routine (school/work/daily routine)
Hours of Sleep before headache
What I ate before headache?
Activities before headache appeared
Weather (rain, cloudy, cold, hot etc.)
Bowel Movements (Constipation etc.)
Menstrual cycle day, if applicable
Bleeding (related to Menstrual cycle, if applicable)
Important stressful events occurred today
Other medications taken today
Other comments (Anything that doesn't go anywhere else)
You could pick up few more data points from http://mymigrainejournal.com/ They do not have an app but you get a daily mail from them to record events, if any. I find that very annoying, so I prefer Migraine Notebook app (used to use spreadsheet before).
Do NOT take any medication without pediatrician's supervision. Schedule an appointment with your pediatrician at earliest and talk to him/her at length (Take all the points on a piece of paper so that you don't miss any). Eventually, you will take your diary to the pediatrician/neurologist. It will help them a LOT to figure things out.
If your mom doesn't believe you, show her this thread, may be she will believe.
If you have any questions, post it here and someone will try to help you (but you still have to go to your pediatrician).
Diagnosed March 2007 with left sided UC at the age of 30.
Colazal 9 daily, Imuran, 200mg daily, Vit. B12, 1mg, Multivitamin, 1 tablet daily, Fish oil 2400mg daily, Vit D 2000 IU daily.
Verapamil 320mg for migraine, Migraine episode now at least 4X a month,
Nabumetone 750mg as an abortive, so far so good with GI side effects.