You *CANNOT* connect two routers directly to the phone line. The ISP only allocates one IP address which goes to the first device to connect. The second device won't get an IP address to go online.
This is precisely why a router is used. The router gets the single IP address and, in turn, allocates IP addresses to the computers connected to it, using one of the address ranges reserved for Local Area Networks, most commonly a 192.168.x.x range. It then *ROUTES* the internet traffic to the appropriate IP addresses in the network.
One way or another, both of your computers will need to get their simultaneous internet access from the *SAME* router.