ED-E My Love

 is a quest in Fallout: New Vegas.

Quick walkthrough
After talking to Johnson Nash about ED-E, this quest will be given to the Courier. After heading to the Gibson scrap yard once ED-E is a companion, ED-E will begin playing a recording made by Whitley, an Enclave researcher at Adams Air Force Base. He is sending ED-E, a special prototype for a combat Eyebot, to Navarro for further upgrades.

Detailed walkthrough
Get ED-E in Primm in the shop on the right hand side after walking into Primm from the broken bridge and moving straight ahead until you see a dead courier, the courier is propped up against the shop.

To fix the robot you need either a high science, a high repair, or you can fix it with spare parts (you need 1 Scrap Electronics, 3 Scrap Metals, and 2 Sensor modules).

Once repaired, every now and then, ED-E will begin playing a recording made by the Enclave researcher. This is possibly triggered by certain keywords in NPC speech, or at random intervals. Eventually, a Brotherhood of Steel patrol Knight, Knight Lorenzo, will contact you through ED-E, interested in examining ED-E. The Knight asks you to take him to a Brotherhood of Steel patrol inside the REPCONN Headquarters.

Bugs
If you talk to Old Lady Gibson and go through all the dialog before you have ED-E, it seems you cant complete the quest. The needed dialogue options are no longer there. (XBOX360 and PC)