While I agree with some of the moms that 19 months is not entirely too old to have a bottle, she shouldn't have a bottle at night in the bed unless it only contains water. I would take the approach that 'bottles are for babies, and she's a big girl now'. Take her to the store, give her a dollar, and let her buy her own cups. Make a huge deal out of picking out the right cup for her and letting her pay for them with her dollar. Only big girls get to shop by themselves. When you get them home, make a big deal out of washing them, and getting them ready to use (let her do the dishes on this one). And the last step is to give all the bottles to the baby. This is most effective if she can have a shelf or drawer in the kitchen where her dishes go that's separate from the baby's.
After all that is accomplished, if she demands a bottle, remind her that she gave them to the baby, and she has big girl cups. If she cries, put her in her room or some other safe place, and let her get her frustration out. When she comes back, offer her the cup. Just remember, this too will pass. I've yet to see a Kindergarten child with a bottle. And keep your sense of humor, wanting a bottle at her age isn't dangerous to her health or well being.
Good luck!