Spine Drops

Medicine, item level 30.

From 148 The Bear and the Young'uns' Cares.

From quests

148 The Bear and the Young'uns' CaresChoose one of 3, ×3

This alchemically crafted restorative instantly cures most instances of paralysis.

Other databases

Eorzea Database (the official one, on The Lodestone)
Console Games Wiki
Garland Tools (vendors, crafting, drops)