SSIS tends not to do well with multi-format input lines from text files. It can be done, but frankly if this is a one-time load it's not worth the effort. You should just manually change the file to incorporate the additional column and be done with it.
However, if this is something where you have lots of files in the same directory that all need to be loaded periodically? Different story. And are the formats of the files consistent? If so, you can use this little trick: when you are creating your Flat File Connection, in the Flat File Connection Manager Editor, there's this handy little item in the "General" area called "Header rows to skip". This will allow you to bypass the funky stuff at the beginning when you're ready to get the tabular data.
So, inside a "for each loop" container that iterates through the correct files in your directory, create a Script task to read the first line of the file and parse out the value for the first result column, then use your skip-lines flat file connection manager to then read through the rest of the file, skipping the appropriate number of lines to get to the meat of the data. Use the populated variable from above to set the value for the first column and you're all set.
Hope this gives you enough to go on!