Oops, here is the relevant error.log entry from Nginx as well:

013/05/06 01:46:03 [error] 2063#0: *294659 upstream timed out (110: Connection timed out) while connecting to upstream, client: ip.address, server: amywebsite.com, request: "GET /home HTTP/1.1", upstream: "http://192.168.1.12:8080/home", host: "www.mywebsite.com"