Answer:
The very first time we see the handkerchief is just after Othello starts suspecting his wife of being unfaithful.
The handkerchief was the first gift from Othello to Desdemona because it was her
first remembrance from the Moor in which
Cassio finds the handkerchief and takes it to his woman, Bianca and from Bianca to Lago in which Iago puts the handkerchief
in Cassio's home, and tells Othello,
Bianca later come to give the handkerchief back, angry because she believes "This is some minx's token." in Othello recognizes it as his handkerchief
Step-by-step explanation:
The journey of the handkerchief from beginning to end started from the very first time we see the handkerchief which was just after Othello started suspecting his wife of being unfaithful.
The handkerchief was the first gift from Othello to Desdemona because it was her
first remembrance from the Moor in which
Cassio finds the handkerchief and takes it to his woman, Bianca and from Bianca to Lago in which Iago puts the handkerchief
in Cassio's home, and tells Othello,
Bianca later come to give the handkerchief back, angry because she believes "This is some minx's token." in Othello recognizes it as his handkerchief.