Well I don't think digital tv manufacturers send out windows 8.1 drivers as I could not locate one. My system is as up-to-date as it can be. Thank you for trying though.
I did try updating the generic pnp monitor associated with the Samsung digital television and manually choosing the standard digital flat panel (1920*1080*60hz). This yielded the same results as before with the Intel graphics right click menu choosing the 1776x1000 resolution but the windows monitor switch chooses correctly. I assume this is as you said the tv is sending the wrong data. Can I force a new resolution somehow?