Two weeks tomorrow since she went missing. I fear this will not have a happy outcome.
A few things that bother me. She was missing from the Monday but not reported by the partner to the police for 4 days. Why? Presumably this was because she allegedly left a note saying she wanted time to think, implying she had gone away. But even so, that seems a long time especially if she had not even taken so much as a handbag, money, etc. the usual one might carry, plus an overnight bag at the very least.
I would question was the note indeed written by her, or a very good forgery? Has this been looked at by a handwriting expert and fingerprints examined to see if hers are on it? Four days would obviously allow time for disposal of her remains and to concoct a story...
She was also supposedly to have accessed her Facebook account briefly during the time she has been missing. How has this been proven to have been done by her? Did the partner and his kids have access knowledge to that Facebook account?
What was her relationship like with the partner, and indeed his two kids who seemingly lived at the same house? What was their relationship like with her? Did they have any feelings of resentment that their father had 'replaced' their dead mother?
If she left with no money, and has not accessed any bank accounts, and has no means of transport, and has been seen by no one - except for those earlier random sightings of a woman who *may* or may not have been her - I think it is unlikely she is alive. Whether as a result of foul play or her having taken her own life.