I prefer the number table approach to split a string in TSQL
For this method to work, you need to do this one time table setup:
SELECT TOP 10000 IDENTITY(int,1,1) AS Number
    INTO Numbers
    FROM sys.objects s1
    CROSS JOIN sys.objects s2
ALTER TABLE Numbers ADD CONSTRAINT PK_Numbers PRIMARY KEY CLUSTERED (Number)
Once the Numbers table is set up, create this split function:
CREATE FUNCTION [dbo].[FN_ListToTable]
(
     @SplitOn  char(1)      --REQUIRED, the character to split the @List string on
    ,@List     varchar(8000)--REQUIRED, the list to split apart
)
RETURNS TABLE
AS
RETURN 
(
    ----------------
    --SINGLE QUERY-- --this will not return empty rows
    ----------------
    SELECT
        ListValue
        FROM (SELECT
                  LTRIM(RTRIM(SUBSTRING(List2, number+1, CHARINDEX(@SplitOn, List2, number+1)-number - 1))) AS ListValue
                  FROM (
                           SELECT @SplitOn + @List + @SplitOn AS List2
                       ) AS dt
                      INNER JOIN Numbers n ON n.Number < LEN(dt.List2)
                  WHERE SUBSTRING(List2, number, 1) = @SplitOn
             ) dt2
        WHERE ListValue IS NOT NULL AND ListValue!=''
);
GO 
You can now easily split a CSV string into a table and join on it:
select * from dbo.FN_ListToTable(',','1,2,3,,,4,5,6777,,,')
OUTPUT:
ListValue
-----------------------
1
2
3
4
5
6777
(6 row(s) affected)
Your can now use a CROSS APPLY to split every row in your table like:
DECLARE @YourTable table (NameList varchar(5000), TimeOf int)
INSERT INTO @YourTable VALUES ('John Smith, Jeremy Boyle, Robert Brits, George Aldrich',  5)
INSERT INTO @YourTable VALUES ('John Smith, Peter Hanson',    15)
INSERT INTO @YourTable VALUES ('Jeremy Boyle, Robert Brits',  10)
SELECT
    st.ListValue AS NameOf, SUM(o.TimeOf) AS TimeOf
    FROM @YourTable  o
        CROSS APPLY  dbo.FN_ListToTable(',',o.NameList) AS st
    GROUP BY st.ListValue
    ORDER BY st.ListValue
OUTPUT:
NameOf                  TimeOf     
----------------------- -----------
George Aldrich          5          
Jeremy Boyle            15         
John Smith              20         
Peter Hanson            15         
Robert Brits            15         
(5 row(s) affected)
Using this, I would recommend that you alter your table design and use this output to INSERT into a new table.  That would be a more normalized approach.  Also Don't use reserved words for column names, it makes it a hassle.  Notice how I use "NameOf" and "TimeOf", so I avoid using reserved words.