Family stories sometimes arrive in more than one version. A place, date or sequence may change between tellers. Recording the versions separately can be more useful than immediately choosing the one that sounds most complete.
Note who told each account and when the conversation took place, with their agreement. Ask whether they remember the event directly or learned about it from someone else. This question describes the route of the story without dismissing its personal importance.
Place the versions beside each other and identify the precise differences. A broad statement that the accounts disagree is less helpful than a note about one uncertain name or a different order of events. Look for supporting material where appropriate.
When writing for others, explain the uncertainty plainly. A thoughtful family history can preserve both a meaningful recollection and the limits of what is known. The aim is an honest account, not a seamless narrative created by removing every unresolved detail.