I would say the main issue here is that you didn't make a starter for this batch. For an OG of 1.09, you need about 300 billion cells. At 100% viability you have about 100 billion cells in your white labs tube. However, realistically you would not have yeast that are 100% viable. Let's say you had 80% viability or 80 billion cells then that means you have to have signficant growth for that occur (80 billion to 300 billion). Therefore, there just wasn't enough healthy yeast present to do the job. I would have to disagree with Revvy here in that the issue wasn't transferring, the issue was that there wasn't enough yeast present to get the job done in the first place.
If it has already been 5+ weeks then I don't see how letting it sit longer will do anymore than what has already been done. I only see three options here: 1) pitch an alcohol tolerant yeast starter (small volume at high krausen) or 2) pitch a lager yeast starter (small volume at high krausen) or 3) make another beer then rack it and pitch it on the yeast cake.