After finding the answers to the questions, we tried to approach the cache from the west. We do not recommend this: E ended up with several scratches, and S had blood running down his leg (not to mention the fact that the path doesn't even go through this way)!
After realizing our error, we tried again, this time starting east of the cache. Rather than brambles, we found a nice lady with a dog, who assured us that the path existed this way. A short walk later, we had found the cache, from which we took Jazz Ball TB.
Thanks for the tour of the city and the mini adventure!