Now that you confirmed her suspicions, Delilah Purcell wants to know who has been digging up the underwater graves of the people lost in the earthquake. Since this is by far no easy undertaking, the list of suspects is small. She wants you to talk to each of them.
No fighting is required for this mission - you just have to talk to two NPCs in town (the second one will let you claim the reward).
This is the also the start of the mission to unlock Salvaging Supplies, which has been removed here for no known reason...
Salvaging supplies Port Royal Tavern, Delilah Purcell, Mission: Market Value Next location, next to company office PR, Avcom, pick up Crate on the left by 2nd NPC group. Hand in to Delilah, and pick up Scientific Pursuits.
Achieve trusted reputation with the Academie Nationale.
Speak to Sheila Barylett then Jeanette Denot , and pick up the mission "Thankyou for your support". Destination Magistrates Office, PR. then outside the Company Office, PR to speak to Payne Wakefield. Following the same mission ( Payne gives you more, but not part of this line ) return to Jeanette.
Return to Sheila Barylett, and pick up the new mission, "Respect for the Dead" Head to the shop, where you should have the option of the shop, or the mission as you enter. The evidence is to the right as you go in the warehouse ( after defeating the NPCS). Return to Shiela to end the mission. Go to Jeanette who now has the Mission, "Stop and Go" This is a Shipcom Mission, with a few mid 30's npcs to defeat or avoid. You need to sail to 4 points on the sea, and wait ( stay near ) for a period of time ( about 45 seconds) There are about 10 npcs in the location, and 1 friendly npc.You then need to escape. A decent str ship is useful in this mission.
Hand in the mission to receive the Salvaging Supplies, and unlock them for future purchase from TA.
The item is NOT in the consumable section, but under the Mission section in TA for purchase.