The women outside the museum is the chief inspector.
There is no key to the chest.
Once you get the key from the curator, go back to Counterfeit island and use it at the Inspector's house.
it is hidden behind a painting in the inspector (black widows) house
She warns you that there is a notorious thief at work on Counterfeit Island, and gives you the key to the Inspector's house in the Country Side.
The art thief is back on Counterfeit Island. As part of Counterfeit island, you don't need to do anything in Early Poptropica except get the key from the curator at the Pop Art Museum, then return to Counterfeit Island to open the Inspector's house.
get beaten up the investigators the black widow
You now have a key that fits a lock on Counterfeit Island, and you haven't found a key to the lock on the Inspector's house, so...
After the scooter chase, the investigator (the lady chief inspector) is nowhere to be found. However, given that you have just received a KEY from the curator on Early Poptropica, and that you are looking for a KEY to the Inspector's house, that might be the place to go.
The old woman is the curator of the museum on Counterfeit Island, and she came to Early Poptropica to recover a key you will need to complete the quest. When you receive her message, go there, get the key, then return to Counterfeit Island to use it at the Inspector's house in the Country Side.
If you have been to the Countryside, you could not get into the Inspector's house because you didn't have the key. Now...
There are no beakers on Counterfeit in Poptropica.
Go back to Counterfeit Island and use it to open the Inspector's house in the Country Side. On the way, the street artist gives you a clue as to what to look for in the house.