Your poor daughter is going to get enough JW nonsense from her mom. Please don't play into the WT dictates and go along with your mom's idea. If she won't see you, she shouldn't see your daughter. Period. Her loss, her choice and don't EVER let her suggest differently (and she will say so, explicitly.)
I've got a granddaughter who is 3. I would never cut off my kids and expect that I could see my granddaughter. If you live in Texas or Louisianna, come visit me (and stay along with your daughter for dinner!)
M.