Bob,

Thanks for the reply.  I did get this to work using "this.value".  I am wondering if you could help me a little further (I'm a newbie).  Beside the value of the selectList, I need to also pass a parameter of another field in that record list.  Essentually what I am trying to do is create a table of events and allowing the user to select different variables in one field (selectList) and then update that particular record with the user's choice.  Here is a view of my interface:

What I need my app to do is, if the user chooses, say "Neptune", the record for the event with a Transportation Services Name of "Tran-00015" will have its Phone_Name__c field updated with "Neptune". This will occur when the selectList fires a onchange event.  My thinking is to have the onchange sent two parameters to a "updateSchedule" method in the controller that will do an Upsert SOQL for that record and update the Phone_Name__c field of that event.  Does that make sense?

Her is my updated code:

<apex:page tabstyle="Transportation_Services__c" controller="goGetScheduleQuery">
    <apex:form >
    <apex:actionFunction name="update" action="{!updateSchedule}" rerender="jsvalues">
            <apex:param name="phone" value="" />
            <apex:param name="name" value="" />
        </apex:actionFunction>
    <apex:pageblock > 
    <apex:pageBlockButtons >
        <apex:commandButton value="Schedule A Pickup" action="{!schedulePickup}"/>
        
        <apex:commandButton value="View the Map" action="{!mapPage}"/>
        </apex:pageBlockButtons>
        <apex:pageblocktable value="{!schedule}"  var="event" columnsWidth="75px,75px,75px,75px,75px,30px,100px">
            <apex:column value="{!event.Pickup_Time__c}"/>
            <apex:column value="{!event.Client__c}"/>
            <apex:column value="{!event.Pickup_Location__c}"/>
            <apex:column value="{!event.Drop_off_Location__c}"/>
            <apex:column headerValue="Phone">
            <apex:selectList id="phoneChoice" value="{!event.Phone_Name__c}"  size="1" title="Select assigned Phone" onchange="update(this.value,event.eventName.value)">
            
                        <apex:selectOptions value="{!phones}" ></apex:selectOptions>
                    </apex:selectList>
            </apex:column>
            <apex:column value="{!event.Notes_Transportation__c}"/>
            <apex:column id="eventName" value="{!event.Name}"/>
        </apex:pageblocktable>
        <apex:outputPanel id="jsvalues">
            <apex:outputText value="Value one: {!valueOne}" /><br/>
            <apex:outputText value="Value two: {!valueTwo}" /><br />           
        </apex:outputPanel>
    </apex:pageblock>
    </apex:form>
</apex:page>

Here is my controller method:

public PageReference updateSchedule() {
        valueOne = Apexpages.currentPage().getParameters().get('phone');
        valueTwo = Apexpages.currentPage().getParameters().get('name');
        Transportation_Services__c updateX = [Select Phone_Name__c from Transportation_Services__c Where Name = :valueTwo];
        updateX.Phone_Name__c = valueOne;
        update updateX;
        return null;
    }
    

 Any help would be appreciated. 

Thanks.