While watching Gregorovic's memory near the end of the quest, it appears that familiars are not allowed. If you do have a familiar, then the familiar seems to vanish completely. Its items may return when you next summon a familiar of the same type. To be safe, it may be better to not bring a familiar.
Curating the tales
Talk to The Curator at the Heart of Gielinor, north of the Agility Pyramid (fairy code and run south).
D L Q Be sure to bring the chapters with you to fill them.
For chapter #1, collect 20 memory fragments (the green orbs, not the blue ones) at the Incandescent wisp Divination spot, south of the Poison Waste in Isafdar, west of Castle Wars (fairy code and run west).
B K P For chapter #2, use the empty chapter on the Barrows reward chest.
For chapter #3, kill 40 Zamorak creatures in the God Wars Dungeon to gain access to K'ril Tsutsaroth. Kill K'ril Tsutsaroth once at the God Wars Dungeon (practice mode also counts).
For chapter #4, kill 20 each of young grotworms, grotworms, and mature grotworms in any order at the Grotworm Lair, the entrance of which is at the White Knight Camp, west of Port Sarim.
Return to the Heart of Gielinor.
Read the floating tome to deposit the chapters.
Read the tome again and select the final memory; watch the cutscene. You do not have to watch the other memories.
Talk to The Curator.
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