ColorMePanda: Yes, provincial nominee programs in some provinces allow people to sponsor their family members but for most of them, it's not meant for aging parents, it's meant for people who will contribute to the economy. For example, in the provinces I know of, AB, MB and SK, the cut off age for a relative being sponsored tends to be around 45. I have not looked at the Newfoundland program before but I did just now and I see that they exclude the sponsorship of parents under it. Some provinces do not have a family stream at all.
Also, a mother would not need to have a medical or a background check at the time the daughter applies for her PR. The rules about having to get a medical for a non-accompanying relative at the same time refer only to dependents and spouses. If the daughter had children who are not accompanying, they would have to have a medical when she applies for PR or she would not be able to sponsor them later. If she decided to sponsor them later, it would be very fast. For parents, different rules apply and it takes a long time.