Amy Louise, aged 23 months, of Bramley Grove, suffers from a severe form of muscular dystrophy known as Emery-Dreifuss disease.
In recent months, her family has been busy trying to raise the £7,000 needed to buy the wheelchair.
Last month, Sonja French, Amy's aunt, and her friend Linda Jones went on a a 3,000-mile Fairy Godmother Challenge, motorbiking around Britain.
Wearing leathers, tutus, wings and wigs, they travelled as far afield as Glasgow and Land's End, calling at all major offices of Sonja's employer, IT company Xansa, and at bike meetings around the country where they collected money wherever they stopped.
In just two weeks, they managed to raise £6,500 — just £500 less than the total needed for the wheelchair.
With several thousand pounds already in the Amy Louise Appeal Fund, the youngster's family are delighted that they have reached the target.
But they stress that they still need to raise lots more money for Amy Louise, as she will continue to need new equipment as she grows.
Amy's grandmother Jean French said: "We are delighted to have reached the target for Amy's wheelchair. It will make her life so much easier.
"Everyone has been so supportive, especially Amy's Aunt Sonja.
"However, we are not stopping there. We still need to raise money for a stair lift, otherwise she won't be able to get up and down stairs in her new wheelchair.
"That will cost another nine or ten thousand pounds, so we won't give up raising funds."
The two motorbiking fairies returned home last Sunday, a little later than scheduled, where a big welcome home party was waiting for them at the Admiral Cunningham pub in Bracknell.
Miss French said: "When someone asked me how much money we hoped to raise, I didn't have a clue, so I told them we were going for the whole cost of the wheelchair, but not for one moment did I think we would get the response we have had."
This Saturday, still raising money for Amy Louise, she swaps her leathers and fairy wings for a PVC number, cloak and sword when she takes part in a woman's mud wrestling event in Horley
Miss French will be dressing up as TV warrior princess Red Sonja and wrestling against fellow biker babes.
"The best thing is we have collected money for Amy all round the country and raised awareness of the disease at the same time."
The biking fairies returned home last Sunday, a little later than scheduled, where a big welcome home party was waiting for them at the Admiral Cunningham in Bracknell.
So far the money raised from the fairy's bike ride is £6,500 with more money rolling in by the day.
The money will go towards a state-of-the-art wheelchair and maintenance costs for Amy Louise.
Amy Louise was eight months old when Mandy Collins and her husband Peter discovered she had a severe muscle weakness.
Last month scientists in Paris discovered that Amy is the only person in the world with Emery-Dreifuss disease, the severest form of muscular dystrophy.
There is no cure, but her symptoms can be treated.
Miss French, more determined than ever to raise cash for her niece, will swap her leathers and fairy wings for a PVC number, cloak and sword when she takes part in a woman's mud wrestling event this Saturday (October 5).
Miss French will be dressing up as the television warrior princess Red Sonja and wrestling against fellow biker babes.
The event is taking place at The Keys Youth and Community Centre, Court Lodge Road, Horley, Surrey.
Admittance is £8 in advance by cash, cheque, PO credit/debit card, or £10 on the door, cash only.
All tickets include two free beverages and entry to the post-party show.
Doors open at 6pm and bell time is at 7pm.
Donations can still be sent to PO Box 7809, Crowthorne, RG45 6ZN.