If someone were transfer several times through a series of congregations for say congregation A then to congregation B and to C then D etc. would congregation D be able to tell from the publisher's cards and letter of introduction that are mailed to them that the person originally came from congregation A and then mail everything back there
Your OP implied that with this second route you would not be turning up at the congregation at all - just choosing a 'random congregation'
Therefore, why would B send to C?
If B did send to C - without seeing you, seeing you a couple of times only, seeing you for a short time (ie they don't know you well enough to write a letter of introduction) - B will probably either include letter of introduction from A in letter to C and/or will let C know you originally came from A. B might even refuse to send to C and send back to A for them to send to C themselves.
based on the assumption that the person's family is there?
No assumption is made - your cards arrive at B, you don't turn up, B gets rid of your cards by posting back to A - B doesn't know you, B isn't making any assumptions, they're just getting rid of your cards from their file (of course they could telephone or email A, effectively same result) - A wonders why your cards have been returned to them.