create JSON string from SqlDataReader

UPDATE

I figured it out. Check out my answer below.

I'm trying to create a JSON string representing a row from a database table to return in an HTTP response. It seems like Json.NET would be a good tool to utilize. However, I'm not sure how to do build the JSON string while I'm reading from the database.

The problem is marked by the obnoxious comments /******** ********/

// connect to DB
theSqlConnection.Open(); // open the connection

SqlDataReader reader = sqlCommand.ExecuteReader();
if (reader.HasRows) {

    while(reader.Read()) {

        StringBuilder sb = new StringBuilder();
        StringWriter sw = new StringWriter(sb);

        using (JsonWriter jsonWriter = new JsonTextWriter(sw)) {

            // read columns from the current row and build this JsonWriter
            jsonWriter.WriteStartObject();
            jsonWriter.WritePropertyName("FirstName");

            // I need to read the value from the database
/******** I can't just say reader[i] to get the ith column. How would I loop here to get all columns? ********/
            jsonWriter.WriteValue(... ? ...);
            jsonWriter.WritePropertyName("LastName");
            jsonWriter.WriteValue(... ? ...);
            jsonWriter.WritePropertyName("Email");
            jsonWriter.WriteValue(... ? ...);

            // etc...
            jsonWriter.WriteEndObject();
        }
    }
}

The problem is that I don't know how to read each column from the row from the SqlReader such that I can call WriteValue and give it the correct information and attach it to the correct column name. So if a row looks like this...

| FirstName | LastName | Email |

... how would I c