I cannot seem to figure out what went wrong here, I've done this 10+ times but now the Vase is just not interactable in the museum. Grangers is there and says she has found the vase. I've also somehow done steal documents from tv station part even though it really shouldn't have happened!?!
I do not quite see how you got your save in the state it is, a flag is in a state that it should not be. I am still trying to work out how, but for now you can fix this
Apply the recent posted fix if you have not, then
a) open the cheat menu, select View People, locate Mrs Granger
b) type 177 for the MoveThem edit box and click the link
c) go to her home, spend the night there or elsewhere.
d) ask her to look for the vase, return to the museum. Visit the local history exhibit, you may have to leave immediately and reenter but the vase will be there
This bit for d) where you leave/reenter is a small bug I just fixed, but I am unclear about the flag issue, it accounted for why she was there at night for instance.