All I know about this guy is from Google's auto translate of this page:
https://fr.wikipedia.org/wiki/Gustave_Tritant
Gustave Tritant born in August 11 ,1837 in Les Mesneux near Reims and died in Rethel (Ardennes) on May 21 , 1907Is an organist and composer French .
He made his first musical studies at the masters of Reims, under the direction of M. Hubert and became organist at the Saint-Remi basilica .
After a short stint as organist at Châlons cathedral he moved to Paris, as chapel master at Saint-Eustache , then organist and chapel master at Saint-Augustin and Saint-Pierre-du-Gros-Caillou .
Later, he was organist at Notre-Dame-du-Camp in Pamiers in the South; finally organist in Rethel in the Ardennes and professor at the religious college of this city where he died in 1907.
This piece is number 12 from his 'Office Du Matin'. I don't know how I came across this collection it is on my hard disk from last year. The last section is meant to be repeated but I cut this out.
Hope you enjoy.
John