January is the month of the Holy Name of Jesus. The feast of the Holy Name originated in the 1500's and was formerly celebrated on the second Sunday of Epiphany.  It was removed from the calendar in 1969, "since the imposition of the name of Jesus is already commemorated in the office of the Octave of Christmas."  (motu propri: Mysterii Paschalis, 1969)  It was restored in 2002 as an optional memorial on the first free day after January 1st. which is the third day of January 2019.
The official Litany of the Holy Name of Jesus is included in the book "A Prayerbook of Favorite Litanies."   There are indulgences attached to the devotion to the Holy Name; one hundred days each day if the devotion is made privately, three hundred days each day, if the devotion is made in a public church or chapel.

Because of the feasts in January which pertain to Christ's infancy and childhood, January has also become a month dedicated to the Holy Childhood of Jesus.

The Holy Father's Intentions for the Month of January 2019

Evangelization: That young people, especially in Latin America, follow the example of Mary and respond to the call of the Lord to communicate the joy of the Gospel to the world. (See also Apostleship of Prayer)

Feasts for January

The feasts on the General Roman Calendar celebrated during the month of January are:

January 1 - Mary, Mother of God, Solemnity
January 2 - Basil the Great; Gregory Nazianzen, Memorial
January 3 - Most Holy Name of Jesus, Optional Memorial
January 4 - Elizabeth Ann Seton, Memorial
January 5 - John Neumann, Memorial
January 6 - Epiphany of the Lord, Solemnity
January 7 - Raymond of Penafort, Optional Memorial
January 13 - Baptism of the Lord, Feast
January 17 - Anthony, Memorial
January 20 - Second Sunday in Ordinary Time, Sunday
January 21 - Agnes, Memorial
January 22 - Day of Prayer for Unborn, Optional Memorial
January 23 - Vincent of Saragossa, Optional Memorial.
January 24 - Francis de Sales; Our Lady of Peace, Memorial
January 25 - Conversion of St. Paul the Apostle, Feast
January 26 - Timothy and Titus, Memorial
January 27 - Third Sunday in Ordinary Time, Sunday
January 28 - Thomas Aquinas, Memorial
January 31 - John Bosco, Memorial