You can find the claw and root fossil inside a tower in the desert. If you take either one of it, the other one will disappear to the ground. But you still can get the disappear one at fallarbor town, inside the fossil maniac house after you defeat the elite four.
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you can find him in the place that Stevens in in the room where you find TM dragon claw
U get it from the fossil maniac
after beating the elite four , go to fallabour city and enter the fossil maniac's house.... enter the cave behind the maniac and go straight to the center of the cave.... there you will find dittos which are lvl 35 and above..... if you go still forward you will get the other fossil which you did not choose..... ( if you chose root fossil you get a claw fossil and if you choose a claw fossil you will find a root fossil)
you can find a grip claw in 217 because there are sneasel that are holding grip claw
You can find TM Dragon Claw on Victory Road in Pokemon FireRed (Kanto).