I normally try and write bios instead of using 'list format'. How I choose to deal with conflicting facts/sources very much depends on the amount, types, and reliability of the sources and also the scope of the 'conflict' (do the sources disagree by a month, a year, a decade, a generation?) and if there is a 'logical' explanation. It also depends how 'widely accepted' a particular version of a fact seems to be (in family trees on other websites). I might discuss in the narrative, in an explanatory, footnote, make an annotation to a citation.
Making up a fictional example
BIOGRAPHY
A. Person was born on date.[1]
A. Person married A. Bride (aka A. Spouse, or A. Wife).[2] Many modern sources give their marriage date as X, however these sources all appear to draw from the discredited genealogies of Anjou, earlier researchers gave no date. The most recent research suggests a date of Y.[3]
Two different death records have been associated with A. Person. Record A indicates they died at First Place on date D.[4] Record B at nearby Second Place however gives the date E, which is equally plausible.[5] It is likely that one of the records is for A. Person's cousin who bore the same name and lived across the street - further research should focus on finding obituaries for either death in hopes of disambugating the two records.
SOURCES
1. A. Author, Genealogy of Person, (No Place: Publishers Inc., 2015), 41. [B Author instead gives fact as _____ ]
2. The vital records of their children are inconsistent on the mother's maiden name. A. Bride is the earliest usage appearing on the birth record of the eldest child, with other similar variations being common on later records.
3. A. Author argues that the interpretation is Y, and is supported by B Author and others. C author however argues the interpretation should be Z because interpretation Y is based on accepting N.
4. First Place, Death Record of A. Person.
5. Second Place, Death Record of A. Person.
See Also
* B. Author, The Complete Person, (Some Place: Roco Co., 2014), 49, 72-80.
* C. Author, A Revised History of Person, (Any Place: Ink-o printers, 2015), 123-128.