Since the weather was good, Stella and I decided to go there on foot after all, but to follow a hiking trail through the forest rather than walking along the main road. We found the route easily since it was mostly straight ahead; it was also well signposted.
We reached the Kurpark in about 1:05. After having a look at the "Siamese temple" (erected after Chulalongkorn, the king of Siam, was cured after using the spa there), we sat down on a bench to enjoy the sun.
Stella would have gone back on foot but I wasn't too keen on that, so we walked to the station (which wasn't that easy, since the park isn't that small and I couldn't always find the correct paths to take) and took the train home.
Since it was the first one to leave, we took the Bad Homburg--Grävenwiesbach train, which was a first for me (and a train I had been wanting to take for quite a while, only the opportunity never presented itself before).