English has no governing body which establishes standards for the language. So it's up to you what manual of style you follow.
I was taught (in the USA) to just add an apostrophe. (It's Jess' possession.) This was the first Google search result for "possessive apostrophe ends in s":
http://www.thepunctuationguide.com/apostrophe.html
…and it agrees as well. That doesn't mean Jess's is necessarily wrong. If this is for school, ask your teacher or follow the textbook's example. If your teacher marks it wrong, you can always go back to the textbook in your defense.
Most Helpful Opinions
I'm English, and good with grammer, and the correct way to write it is Jess's. If there were more than one Jess, then it would be Jesses'.
Jess's bc its possession and its singular... for example "The dog's food" dog is singular so u add an apostrophe and an S to show possession. If it was plural (dogs) it would be "the dogs' food" with an apostrophe after the S at the end...
Names are singular so it's "Jess's" "Rachel's" "Michael's"
What Girls & Guys Said
Opinion
0Opinion
Both are correct
Jess's
The only opinion from guys was selected the Most Helpful Opinion, but you can still contribute by sharing an opinion!
Learn more
Most Helpful Opinions