Checked out Palicio de Villardompardo in Jaen before leaving which houses a museum and has 11th century Arab baths underneath it.

Headed back into town for some breakfast then headed off to Ubeda via Sierra de Corzola. Followed suggested scenic route from Lonely Planet and was absolutely amazing. Went from miles and miles of olive groves to high craggy sometimes snowy (in the distance) mountains. Really pleased we took drive although took longer than expected (as stopped lots for photos) so didnt get to do short walk as would have got dark. Views best seen so far and one of highlights so far.

Went a bit off track on way out and stopped off at Parador El Adelantado hotel for a coffee (and more importantly the loo!)

Arrived in Ubeda about 9pm ish to stay at Palacio de la Ramblas for 2 nights. Gorgeous place. So worth the money! Feel very posh.