There are basically four classes of ADHD drugs:

1) Amphetamines like Adderall and Vyvanse

2) Methylphenidate drugs like Ritalin and Concerta

3) Alternative "stimulants" like Provigil and Strattera

4) And adjacent drugs, often added to reduce side effects or provide extra benefit. Examples include Clonidine and Clonazepam.

The Amphetamine drugs, consisting of:

Adderall (amphetamine/dextroamphetamine)
Adderall XR (amphetamine/dextroamphetamine)

Dexedrine (dextroamphetamine)
Dexedrine Spansule (dextroamphetamine)- long acting "XR" formation
Vyvanse (lisdexamfetamine)

Desoxyn (Dextromethamphetamine)

Since I don’t know your daughters age or what her exact responses have been to the medications or her doses I will try to do my best.

The drug Dexedrine or the long acting Dexedrine Spansules might be a consideration. Vyvanse (lisdexamfetamine) is a prodrug meaning that it is inactive until it is metabolized from lisdexamfetamine to dextroamphetamine. Dexedrine cuts out that metabolism and tends to work very well. Many people respond to Dexedrine when other drugs fail. And although it is more/less the same as Vyvanse it is surprisingly different. But it does not last as long as Vyvanse.

There is also the drug Desoxyn (Dextromethamphetamine). The biggest issue with this drug is that it has a lot of stigma around it. It is "meth" however it is pharmaceutical grade and it is a pure drug. Street meth has dextromethamphetaine or d-methamphetamine and the much different levo- (l-) methamphetamine. It is typically used as one of the last options because it tends to work very well but the stigma causes resistance in prescribing it.

The second group is the Methylphenidate drugs which consist of:
Ritalin (methylphenidate)
Ritalin LA (methylphenidate)
Ritalin SR (methylphenidate)
Concerta (methylphenidate)
Daytrana (Methylphenidate Transdermal System)- a transdermal patch
Focalin (dexmethylphenidate)
Focalin XR (dexmethylphenidate)

Since it sounds like she responded most poorly to Ritalin and Concerta this might not be the best group. But Focalin and Focalin XR are almost a different drug. The different between Focalin and Ritalin, literally, are like your hands- both are the same exact structure but mirror images. It sounds like it is not a big issue but it can have radically different effects. This is the same different between amphetamine and dextro (dex) amphetamine and with the methamphetamine as I described. So Focalin might be a good option.

The alternative "stimulants" consist of:
Strattera (atomoxetine)
Black Box: Suicidality

Wellbutrin (bupropion HCl)
Wellbutrin SR (bupropion HCl)
Wellbutrin XL (bupropion HCl)
Black Box: Suicidality for all bupropion drugs

Provigil (modafinil)

Wellbutrin is an antidepressant but it is used for ADHD. It does not have a risk of any abuse.
Strattera is approved for ADHD but its chemical actions are primarily like those of an antidepressant. Strattera was created to be an antidepressant but it was found that it did not help with depression but it did with ADHD. It also has no risk of abuse. Both drugs tend to work best with people who do not do well on stimulants. But overall stimulants are more effective. These drugs can also be taken with stimulants. And there is an FDA Black Box warning (the highest warning) for increased risk of suicidality in people 24 and under. All antidepressants have a black box warning for suicidality.

Provigil is a "wake promoting agent" used for narcolepsy, sleep apnea, and other problems with fatigue. It is not an amphetamine or methylphenidate like drug. It acts significantly differently and has a low potential for abuse. It is used less often and it does not have great data (comparatively) in its effectiveness in treating ADHD. The FDA rejected its application for approval to treat ADHD. But some people respond well to it.

The last group are the "adjacent" drugs. There is no exact list of what these are but there are basically three types:

The α2 adrenergic agonists:
Clonidine
Guanfacine

Benzodiazepines:
Klonopin in the US and Rivotril internationally (clonazepam)
Xanax (alprazolam)

Atypical antipsychotics:
Risperdal (Risperidone)
Zyprexa (Olanzapine)
Geodon (Ziprasidone)

Clonidine in particular is often used with stimulants because it can reduce side effects and it can help with certain aspects of ADHD. It is rarely used alone but has an excellent reputation when added to stimulants.

The benzodiazepine Klonopin in particular can be greatly beneficial. It is a tranquilizer normally for use in anxiety, panic disorder, epilepsy, and certain types of pain. It can really reduce the agitation and the anxie
References :
I am a medical student at a university in Montréal, QC, Canada in psychiatry and internal medicine. I have a specialist degree (Hons. BSc) in pharmacology and I have interned under two psychiatrists, and one neurologist. I have also worked as a pharmacy assistant.

and personal experience.

The other is ADD-care which is not a medicine at all. It is an all natural supplement that has been shown in head to head comparisons with adderall, similar to vyvanse, to work as well. This has been shown in both SPECT brain imaging at the Amen Clinic and with the Conner’s ADD impulsivity tests. The results are at http://www.add-care.com. It does not have the side effects of the stimulants.
References :
http://www.add-care.com
http://www.asktheinternettherapist.com