The first game lore cites 932.
http://lifeisfeudal.com/LoreStories/Excerpt-from-An-Abridged-History-of-the-Acaelian-EmpireAccording to Wikipedia, the Viking Age ended ca. 1066. 1001-1099 is the 11th century to which you refer...
http://en.wikipedia.org/wiki/Viking_AgeIf we pick 10th centry for iron being in the game then I'd be afraid of Cordoba, and assume that Orthodox were spreading into Bulgaria and Caholtics spreading into Great Moravia (Bohemia). Fun times:
Raiding Hungarians
http://en.wikipedia.org/wiki/Hungarians#History_after_900Mark of Geronis (Austria/Brandenburg/Meissen/Hansa expansion)
http://upload.wikimedia.org/wikipedia/commons/4/4d/HRR_10Jh.jpgIf we pick 11th century then Hungarians would be Christianized, I'd be afraid of Seljuks to the east, Germanic pagans to the far northwest, and Cuman (Tengri) pagans to the north of the Orthodox territories. Fun times:
(Gaining Bohemia/Western Switzerland/Provence/Savoy/Lorraine Losing Pommerania)
http://en.wikipedia.org/wiki/Holy_Roman_Empire#Investiture_controversyMiddle ground might be 1000 AD
"We now move forward in time, to the decades around the turn of the first millennium."..."At the same time, west Francia boasts two rather remarkable novelties: the knight and the castle. The earliest castles were generally wooden towers placed on natural or artificial hills and surrounded by stockades. From the late tenth century onwards they appear in the sources as bases of small troops of heavily armed and armored mounted warriors. Such mounted warriors were in themselves nothing new. But what is new is their deployment in castles to fight small brush wars with each other. These early knights quickly developed a bad reputation, particularly in ecclesiastical circles. Contemprorary texts written above all by clerics and monks from the central and southern parts of the kingdom complain in bitter and outraged terms about depredations and killings carried out by castle-based lords and their mounted followers against ecclesiastical property and persons." Brown, Warren. Violence in Medieval Europe. New York: Routledge 2011. Print.
The book goes on to explain the transformation towards feudalism proper between the last part of 900s and the first part of 1000s.
You mention the "Western Schism" and yet I personally imagine the game era to predate the "East-West Schism".
At best we can evidence the game era in this way:
"Piety is a secondary crafting skill that is extremely unique. Only one player on an entire server can reach level 100 Piety, and that person is the Pope. The 10 next highest Piety players are ranked Cardinals, but the Pope and Cardinals can begin Pope elections. The Pope receives two voices, while Cardinals receive one."
http://lifeisfeudal.com/mmorpgsandLiF/Medieval-MMORPG-Life-is-Feudal-no-orcsno-elves-and-PietyThis means that if only Pope/Cardinals get to vote the successor Pope then the game is pre-1130.
e.g. Any Lord could appoint a landed bishop to the local church property, and that bishop would not be allowed to inherit the Lord's claims (assuming LiF incorporates some mechanic similar to this). Alternatively Papal instead of Free investiture could be an option, where all Lords within a realm vote for or against. This would allow for religious and heretic/infidel territory balance.
NORAD.