Dear Sir/Madam,
When the mother is living, no. Neither does a single daughter. The concept here is “mother’s property”, as in it is the mother’s. A daughter has no more rights to the property of a living parent than any random person. A woman can’t go into her parents’ home and decide she wants their television and sofa and walk off with them.
After the parents die, the estate is either divided as directed in the will or by the laws of the state or country where the parents live. If there was no will, then consult with an attorney who deals with probate law where you live to find out how the property will be divided.
My parents had wills. When my mom died first, her will said that my dad got all of her estate. When my dad died, my dad’s will said that I got all of his estate, as I was the only child, with the exception of certain items and money that were designated to go to others.