Jeanne could have asked Pat for money to continue her lifestyle since she knew her brother was rich, but her pride just wouldn't let her do that since she was the older sister. She was still feeling guilty over her absence in Pat's life for so long, she couldn't add a debt of gratitude to that as well.
Having Mark as her backer would allow Jeanne to start going around the world like she used to, helping out in any way she wanted without having to worry about how she would cover the expenses. And she decided that this might be the best choice.
Jeanne told Mark that she would really think about it and get back to him through Pat, and Mark smiled and gave Arit another kiss before he turned to leave, shouting out to Pat that he would see him later.