I have 2 Netvanta 1224R switches. On the main switch I have 3 Vlans setup.
Vlan1 = main network (example IP 123.231.5.1)
Vlan2 = Web Access (Example IP 69.115.851.202)
Vlan3 = Secure segment (Example IP 123.231.8.1)

On the remote switch I have 1 Vlan.
Vlan1 = Main network (example IP 123.231.6.1)

What I would like to do is install a computer on the remote switch to a specific port
like port 17 and have that port access the secure segment on switch 1.

i.e. say I have some excel documents on a computer that resides on the secure segment on switch 1 that I want to be able to access from only one computer at a remote location, switch 2. what are my options to make this happen without allowing any other outside access.

Thanks in advance.
Roy

You are going to have to setup a router for intervlan routing either with a "router-on-a-stick" trunk line or a more traditional routing setup with the router sitting between the two switches. At that point you can control your vlan routing with ACLs. Cisco has a detailed explanation of this at Configuring InterVLAN Routing  [Support] - Cisco Systems

How remote is this location? If it is already routed to the remote location, is it a vendor supplied router or do you have access to the configuration?

You may already have the equipment you need.

I own the routers... I have access to both of them..
They are connected via a T1 PTP...
I am thinking I just need to get the routing correct, but have not been able to do this yet.

If you have a PTP, WAN connection between the two switches it should be really easy to give one system at the remote location access to the "secure segment" at the main location with your router's ACLs and/or static routes as long as you have advanced (... hopefully Cisco) routers.

It seems to me either your routers are not configured correctly or they don't have the advanced networking options you need.

If you are looking at deploying advanced network setups like VLANs please look into studying for your CCNA. Cisco is tops when it comes to networking!