In 1932 a group of Catholics bought a five acre tract land at the corner of Laurel and Cedar Streets from the Ursuline Sisters in Galveston. Later they built a building for classrooms and gatherings.  Bishop Christopher E. Byrne granted permission for  this  building  to be converted into  a chapel and Father Thomas Carney  Pastor of Dickinson  offered the first Mass on October 26, 1941.  Father  Frank  A  Lagana  was an Assistant  pastor to Father Carney at this time with Queen of Peace being a mission of Dickinson for the next ten years.
 
On August 10, 1951 the mission Queen of Peace, La Marque,  was granted PARISH status and Father Frank A. Lagana  was named the first pastor. In 1955 the school and convent were constructed in time for the 1955-1956 school  year. Kindergarten through the fourth grade were started and then a grade a year added until we had through sixth grade in our school. In May 1957 the rectory was completed and Father Lagana started getting assistant Pastors to help out in the parish.
 
In February 1963 ground was broken for the present church. The  First Mass was offered  in it on December 15, 1963 . The solemn dedication of the Church was by Bishop John L. Morkovsky on January 12, 1964 in it.   In the spring of 1983 Monsignor Lagana  Pastor and Father Douglas Guthrie was appointed Administrator and later as Pastor of the Parish.  In March 1986 Monsignor T. Culver was appointed Adminstrator and later as Pastor of the Parish. Monsignor Culver  came here as the Episcopal Vicar for the Southern Vicariate of the Diocese of Galveston-Houston .
 
Under Msgr. Culver’s direction the  Parish Life Center was built.   It  has become a gathering place for the parish’s many organizations, celebrations and events.