i am trying to make vinegar right now as well!
So i have consulted Sandor Katz
The art of fermentation
And his suggestion is to try and make vinegar in a large container with a lot of surface area.
It might be worth it to break open that bottle to retrieve some of the starter.
He also notes that the vinegar needs oxygen to do its thing. So putting some cheese cloth or a cotton cloth ontop will most likely do the trick.
Another point he says is that you do not need to have a mother for the vinegar. Do you have any old red wine vinegar? which you can use to make the new batch with?
Another thing is the wine you are using might have preservatives (sulphates) in it which i believe the vinegar mother does not like...