Is transaction ID the same as Raw Transaction in MultiBit? Can I show the blockchain.info here?
In the transaction details panel, in the Raw Transaction field, the very first long set of numbers/ letters is the transaction id yes. If you click on the 'View in blockchain.info' you can also see it in the URL i.e. the webpage that opens.
If you can see your transaction confirmed in MultiBit AND in blockchain.info and it is more than a hour or two old then it is pretty certain to be on the blockchain.
edit: oh - you'd want to double check you were both talking about the same bitcoin address that the bitcoin was being sent to.