Thank you Gentlemen. Your suggestions were right on.
The background here is the DNS servers are provided automatically by my ISP (Comcast). Their simple setup is to select DHCP and provide the correct (registered) MAC address for the router. Then everything else is automatic with no more entries required. So I was unaware of DNS addresses. The setup just worked.
The howto explained concepts and led to verification in logical steps. And, after I added the gateway and DNS addresses, everything worked fine with my static IP address. There had been no gateway addresses before.
The simple part was that the DNS servers were already there in MCC > Network & Internet > Manage connections since I had been successfully using DHCP. All I did was enter my preferred static IP and the missing Gateway addresss and everything just worked -- browsing the internet and LAN serving.
In the end, I did opt for a different approach by changing from a Linksys to a Netgear router. Netgear offers "Address Reservation" in their LAN IP setup. You assign an IP address and device name based on a MAC address. If the computer is on the LAN as it would be if you first set it up as DHCP, then most of an entry is already available to be added or edited. Makes it easy. The advantage for me is centralized control at a LAN DHCP server for both DHCP and static IP addresses on the LAN in one place.
Thanks again for your help.