This page is a summery of Tikal's role in the Sonic Archie and Sonic Fleetway comics.
NOTE: This is taken from Wikipedia since I don't know anything about the comics.
Fleetway
In Sonic the Comic (Fleetway), Tikal was not around in present day, as the Echidna race was all but extinct. Instead, she existed in the distant past - about 8000 years ago. At this period in history, the Drakons had taken over the Echidnas' sacred emerald mines and, by obtaining the emeralds therein, used the unstable “Chaos” energy source to create the Chaos Emeralds. They were waging war with the Echidnas because Pachacamac had defied the Drakons and taken the emeralds back.
Fearing the danger, Tikal used the Power of the Chaos Emeralds to transport Sonic to her time period. Pachacamac then beseeched Sonic to assist Knuckles in the capture of a Drakon Prosecutor so he could make peace with the Drakons. However, after the two had captured the fish, the Drakons had attacked them. In the resulting firefight, the Chaos Emeralds were hit, which caused them to begin leaking Chaos Energy into the room. They all began to flee, leaving the captured Drakon Prosecutor behind, which resulted in becoming Chaos. The Echidnas then sealed Chaos in an enchanted container, but Dr. Robotnik's assistant, Grimer, later released him.
Because of Chaos' presence, a creature whom Tikal had seen in visions of the future, Tikal stated that this would be the beginning of the Great War. Despite this, Pachacamac returned Sonic to his own time by manipulating Chaos' energy with his staff. After a long fight with Chaos, they finally succeeded in capturing him. Pachacamac, Tikal, and Knuckles then thought about the beginning of a war that would determine the fate of the entire Echidna race. Although Tikal and Pachacamac knew Knuckles would live 8000 years, they realized that everything else was lost.
Archie
In the Archie comic book, Sonic the Hedgehog, Tikal first appears in issue #79. Tikal's tribe lived next to the Mysterious Cat City and fought against the Cat people. Later, Tikal found the ruins where the Chao resided and made friends with them. When the Echidnas started to lose to the Cats, they attempted to use the power of the Chaos Emeralds to win against them. The warriors attacked Chaos, who in turn used the Chaos Emeralds to turn into Perfect Chaos and kill them. Chaos began to wreak havoc on the world so in order to stop the disaster, Tikal and the Chao trapped Chaos in the Black Emerald. For a price, Tikal’s spirit was trapped as well.
Later, Doctor Eggman's Robian slaves were digging up the Mysterious Cat City when they found a Black Emerald. Eggman broke it open and Chaos emerged while Tikal, in the form of a red light ball, flew by, unnoticed. Later, Tikal communicated with Knuckles through telepathy and told him her history. Some time later, Chaos acquired the seven Chaos Emeralds and used the negative energies of the emeralds to turn into Perfect Chaos. As he began to destroy Station Square, Tikal appeared to Sonic and showed him the past of Chaos’s origin. Then Tikal used a spell to weaken Perfect Chaos and positive-charged the Chaos Emeralds, which changed Sonic into Super Sonic. After Sonic neutralized Chaos, he and Tikal returned to their zone, which is Angel Island before the attack on the Master Emerald shrine.
Archie Sonic X
Tikal first appears in the Archie comic book, Sonic X, in issue #5 in a flashback, but later appears in issue #6 with a bigger role. The Master Emerald had brought Tikal to the present time because the earth was in danger from angry Chao. As a back-up, Tikal brought Chaos and a multitude of chao with her and assisted Sonic and his friends in the defeat of the enraged chao.
Later, Doctor Eggman appeared, so Tikal telepathically told the chao to give Chaos the seven Chaos Emeralds to increase his strength in order to beat their enemy. After Dr. Eggman's defeat, she and the chao spend some time with Sonic and his friends. However, she later returns back to her time, telling Cheese that if she calls her name, she will return.