Interestingly yesterday my follower (who was uthgard) died and in whiterun a courier came up to me and gave me a letter that bequethed me 300 gold and condolences from the jarl, and when I went into the hall of the dead there was a coffin for her with her possesions in it. This was on my second playthrough and I've never seen it on my main
I had a similar thing happen to me, I had a brawl with that bloke who runs the stables outside riften, so logically he becomes a good friend of mine. Later Idecide to kill him because he's a
bit of a dike and lo and behold a few (in game) days later he has bequeathed me 500 gold in a will. See kids crime does pay, bethesda told me so.
Oh and I made a shrine to lydia atop the throat of the world, where she died fighting Alduin. I left the enchated sword I forged for her propped up against the world wall, seemed appropriate.