I saw this in my carafe after it had been emptied. I am assuming it came from the wine. It almost looks like a vine to me. Can anyone help me identify this?
This is most likely tartrate crystals that have formed around the cork or a seam on the inside of the glass bottle. The like to attach to something rough. I have seen this many times. More often in white wine than red because of the higher tartaric acid levels, but it can occur in both. Generally when the wine has been stored in a cold location for an extended period of time. Like in a cellar or fridge. Nothing to worry about! Here is a picture of white wine crystals that have a similar shape.
Those sediments are frequent in wine (especially in aged red wine). They consist of tartar (we in Germany call it "Weinstein" which means "wine stone") and colours. Bottles that have been stored horizontally for a longer time frequently have that kind of sediments on the down side of the bottle. Red wine needs air after being opened and is therefore often filled into a decanter. When you do this carefully the sediments remain in the bottle.
In general the sediments are not hazardous to your health. The tartar can even be a symptom of good quality.
When you store wine you should lay bottles in horizontal and keep the label upside. After opening the bottle you should empty it carefully with label up. So everybody can read the label and the sediments will remain in the bottle to keep the wine in glasses clear.
However, in the longer past not all bottles were really carefully cleaned. The result was a wine with a terrible taste, not even vinegar. You can be sure that since decades wine makers take care to have bottles clean, if they want to remain in business.