When Polycarp of Smyrna walked to Rome in his old age, to fight the heresies arising there among the believers in Rome, he went to stop the Roman believers from having the crucifixion and Lords Table switched tot he pagan holiday commemorating 'Easter'. Polycarp and the believers across Asia Minor celebrated the Lord's Table on Nisan 14, not the Easter Sunday of the pagans.
Nobody in Rome knew anything about any holiday called “Easter,” which is a Germanic word, and there were lots of ideas about when to celebrate the holiday, called in Greek “Pascha,” in Polycarp’s day. But I’m unaware of Polycarp ever “walking to Rome in his old age”. Did you mean perhaps Ignatius?