Anyone? Please? ??
Have you met Father yet? Have you been to the institute?
It hasn't been 50 years, since Kellogg stayed in Diamond City. Travel to the Institute and every thing will become clear. I don't want to spoil anything for you.
Oh and yea, Kellogg is rather old, but you do find that he's technically enhanced by the variety of his implants. You do remove them, after you kill him and use the brain implant to retrace his memories.
Kellogg killed your spouse and kidnapped your kid 60 years ago.
Recently, Kellogg was in Diamond City with a child named Shaun. A courser showed up with orders for Kellogg to track down Virgil, and takes the boy with him back to the Institute. Kellogg heads to Fort Whateveritscalled to prepare for his expedition into the Glowing Sea. This is when you track him down.
2077- Sole Survivor and family enter Vault 111.
2227- Shaun kidnapped. Shaun is an infant.
2277- Sole Survivor released.
2227+60=2277. Shaun is 60 when you meet him.
The Shaun we see in the memory is a Synth, created to lure Sole Survivor to Kellogg and to fool them into thinking Shaun's a child.
Kellogg is over a century old because of implants that prolonged his lifespan.
2287 is what you meant to say, right!? The SS leaves Vault 111 in 2287.
And yes, the Shaun in the memory is the synth kid.