Your top example would have an FSS with the same name as the Navaid, while your bottom example would have an FSS (with a different name) that controls that Navaid -- i.e. can use it to receive & transmit, even though it isn't co-located. The presence of either the shadow OR the FSS name (different from the Navaid's name) in brackets underneath will tell you that there is the ability to contact an FSS at that Navaid; without the shadow & with the FSS name underneath, the FSS is physically located elsewhere. This link (select the "IFR Symbols" tab) has the following graphic:
In this example (halfway down), the Jonesboro FSS controls the Pine Bluff VOR and can use 122.6 to talk to aircraft close to Pine Bluff. In the example directly above that one, there is a remote transmitter (with no associated Navaid) that Jonesboro FSS can use to talk to aircraft on 122.55. Either way, you're talking to Jonesboro FSS (as there is no "Pine Bluff FSS").
In the top example in that graphic, you'd be able to talk to Wichita FSS on 122.65 using an antenna approximately at the ICT VOR -- FSS name matches the Navaid name.