David,
I’m going to guess that you have a v-drive transmission ( the front of the engine, alternator end, faces the transom). That would most likely be a Hurth 150 V transmission.
Based on your description of “near the end of the transmission that faces the bow”, if it is a 150V, then the output shaft seal(s)are leaking. Mine did the same.
The fix is to:
Remove the transmission from the boat
Remove the bolts holding the two transmission halves together (make sure you get all the bolts undone)
Split the two halves with the shafts horizontal and the shift lever side up. The works will lay in the casing half that is laying on the work bench.
Press the gears, spacers and other parts off of the output shaft for the oil leak repair. Press everything off of the input shaft for friction disc replacement. There are spacers on both shafts. Read the transmission service instructions before transmission disassembly.
There is a wear sleeve on the output shaft upon which one of the output seals rides. This wear sleeve may have a slight groove worn into it by the seal. If you can see a fine groove worn into the sleeve, replace the sleeve when you replace all the seals in the transmission. Assembling the transmission with a grooved wear sleeve will lead to a leak not fixed.
A repair manual for the 150 V transmission can be found online.
A third party kit is available online containing friction discs, seals and gaskets
The wear sleeve is a separate part. If you replace this, check it’s length against the length of the existing sleeve. If there is a difference in length, shimming of the output shaft will need to be changed. If the new sleeve is longer than the old sleeve, rather than changing shims, a machine shop could grind the length of the new sleeve to match the old sleeve.
You will also need some special gasket maker to mate the two housing halves.
Parts will run $500-$600 USD.
If you have not taken mechanical stuff apart previously, you might not want to do this yourself.
ZF Transmissions of Italy bought Hurth. The exact transmission is available from ZF. The model is 15 MIV. If you buy a new transmission, you need one with the same gear ratio as the existing transmission. I bought one last year for $3,650 US plus freight from Trans Atlantic Diesel in Virginia. I ordered the transmission about 1/1 and received the transmission about 5/15. That was about two months later than originally indicated due apparently to Covid delays in Italy.
The new transmission was bought to go with a new Beta 35 engine in my boat.
You might want to keep an oil absorbent pad under the drip and live with it. (Inexpensive but leaks can be mentally bothersome.)
I now know a lot more about these transmissions than I did before I disassembled mine the first time.