Hello there Lyonnist, welcome to Eupedia. Being I1 is a broad haplogroup that origionated from the Nordic Bronze Age before evolving into Germanic Tribes. The Germanic tribes that migrated to France was the Frankish Empire and the Norman Vikings. Were you given a YDNA subclade? Your Ydna Haplogroup only covers your Father's Father's..... line; like a surname.
Here are some useful links for reaserching your I1 direct ancestors to get you started. Wish you the best of luck on reaserching your ancient family history
http://www.eupedia.com/europe/neolit...rope_map.shtml
http://www.eupedia.com/europe/benelu..._project.shtml
http://www.eupedia.com/europe/Haplogroup_I1_Y-DNA.shtml