Formula to count names

I searched the forums but haven't found an answer that works for me. I'm trying to count the number of times a name appears in a column.

A1 - Tom
A2 - Tom, Harry
A3 - Joe, Tom
A4 - Tom
A5 - Tom, Bill

I want to count Tom in the list.

I've tried =countif(A1:A5,"Tom") which give the answer of 2.

On another forum I found this one =SUMPRODUCT(--(COUNTIF(OFFSET(A1:CH1,ROW(A1:A5)-ROW(A1),),"Tom")>0)) also gave me the answer 2.

Ideas??