Resolving a webserver on my LAN

Where I work we are not on a domain. I do have a webserver running an Intranet site using ISS on a Windows 2003 Server machine. I would like to be able to give users a link to the Intranet site using a url name rather than the IP address of the machine. Since it is an Intranet site and we are using our ISP’s DNS servers, can I use our Cisco 3620 router to direct people to the webserver’s ip address if I were to come up with a url or just use the webservers machine name. For example, if I had our employees type “http://webserver” can the router direct them to 192.191.1.1. Instead of having a user type in 192.191.1.1 to access the Intranet site.