Yes
The baby's grandfather's son's grandmother is the baby's maternal grandmother.
The writer's parents left him with his grandmother when he was just a baby.
Certainly a grandmother or any other relative can give a baby shower as this gives you a chance to ask relatives as well as some of her own friends if there has been no baby shower previously for her (with her own friends.)
My grandmother is going on vacation this summer, what are some of the cheapest travel websites?
Yes, a baby needs a passport for international travel.
Yes, a baby needs a passport to travel internationally.
Yes, a baby needs a passport to travel to Canada.
Yes, a baby needs a passport to travel to Mexico.
Yes, a baby requires a passport to travel to Mexico.
It doesn't have an origin as such but comes from baby talk for grandmother / nanny.
Say a woman (let's call her Jane) has a daughter (let's call her Mary) and the daughter (Mary) has a child (let's call the child Carol) Jane is the grandmother of Carol. If Jane has a child other than Mary, that child is Carol's Aunt or Uncle and Carol is that child's Nephew (if Carol is a boy) or Niece (if Carol is a girl). So the relationship between a grandmother's baby and her daughter's baby is that of Aunt/Uncle to Niece/Nephew.
You can find information on single senior cruises for your grandmother by seeking travel agents who specialize in senior vacation packages. Very few general travel agents or online booking sites offer this service.