Is it permissible for someone who wishes to marry a girl but is experiencing difficult financial circumstances to speak with her via Facebook to inform her of this, so that if she agrees, he may propose to her, and if not, he may distance himself from her, or should he go directly to her father?

We advise you, if you are able to marry, to take the initiative and propose to this girl. You may correspond with her to confirm her consent, or speak directly with her father. Do what you deem most appropriate to achieve your objective. However, it is not permissible to speak with her if there is doubt or fear of temptation. It is preferable to have one of your female relatives mediate and speak with her to explain the situation.