Talk to Archaeologist Phrank in Sandgate at the mining site
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Get out of the hole using the ladder, and go talk to the NPC on the broken bridge on your right
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Obtain your hard hat from the nearby crane
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Go on the Broken Bridge, you'll need a water type in your team to locate the cover fossil
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Swim Under the Boat that's off in the distance
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Defeat the wild water type pokemon
Return to ashore and talk to the construction worker to give your hard hat back to him
You will have to fight Harrison but you don't have to win.
The Outcome of This Battle Will Decide What Fossil you Will Recieve
Harrison:
Go to the “Town of Flight” … Breezleton
There will be 2 NPC's you can talk to, the quest rewards stay the same, but you just have to solve it differently, this guide focuses on BETH if you choose Sarah click on the other guide.
Talk to Beth
Go to Bridgerun's pokemart and talk to the Delivery Man standing outside the mart
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Follow the paved road to get back to Breezleton, Harrison will stop to check on your progress
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Return to Beth and deliver her the package
Find Mama Beth and talk to her
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Mama Beth wants a Pidove, which you Will Not get back
Go inside the building next to the Breezleton Gym
Fight Librarian Laura
Laura:
Climb to the top of the mountain near Breezleton - Bridgerun; following the redstone is a good idea
Collect the Plume Fossil from the top of the mountain
Fight off those pesky birds
Return to sandgate and complete your deal you had with Harrison
Talk to Phrank and wait 5 minutes for your fossil to get revived
