configure 2 routers,3 hosts in 5 PC LAB

I have designed a LAB of 5 computers which are not connected to ant switch or hub in which i want two routers.

|HOST A |—-|ROUTER 1|—–|HOST B |——|ROUTER 2|—–|HOST C |

HOST A
eth0: 10.0.1.192
HOST B
eth0: 192.168.1.19
HOST C
eth0: 10.10.1.192
ROUTER 1
eth0: 10.0.1.1
eth1: 192.168.1.1
ROUTER 2
eth0: 192.168.1.192
eth1: 10.10.1.1

WHERE all connections are using crossover wire.
what i want to ask is that can above designed configuration is correct?
can it be giving a simulation as i am sending a packet from host A to Host C
which is going through 2 routers in (consider) internet?
Also what should be Gateway addresses for each host for each NIC cards?
I am confusing what gateway address should be given to each host?