The phrase "foggy memory" means that you cannot remember something clearly or accurately. It's like when your brain feels cloudy and you struggle to recall specific details. Full definition
These voids are where Kentucky Route Zero seeps into the real world, floating between foggy memories of past events to create a game experience that you're actively «playing» even when you're not. (killscreen.com)
My main foggy memory of my first experience with labor was that I was completely checked out mentally. (attachmentmama.com)
Some people experience fatigue, headache, depression and / or foggy memory with chronic exposure to Candida. (rmalab.com)