My question is based upon the following frame from the first Harry Potter film (Philosopher's Stone). It shows her name on the right hand side. Well, just wondering, as she's so into Quidditch.

My question is based upon the following frame from the first Harry Potter film (Philosopher's Stone). It shows her name on the right hand side. Well, just wondering, as she's so into Quidditch.

The Pottermore article for Professor McGonagall indicates that she was indeed an avid Quidditch player during her school days.
Minerva was also, like her mother, a gifted Quidditch player, although a nasty fall in her final year (a foul during the Gryffindor versus Slytherin game which would decide the Cup winner) left her with concussion, several broken ribs and a lifelong desire to see Slytherin crushed on the Quidditch pitch. Though she gave up Quidditch on leaving Hogwarts, the innately competitive Professor McGonagall later took a keen interest in the fortunes of her house team, and retained a keen eye for Quidditch talent.
The dates on that trophy are incorrect, however. McGonagall attended Hogwarts from 1947 to 1954 as a member of Gryffindor House. She did not play any Quidditch after she graduated in 1954.