Hunt re-rolls in the presence of Sauron's servants or Strongholds
According to the 2nd Edition rules (although the 1st Edition rules do not differ in this respect, although it clarifies it in a different way), when determining the location of the Fellowship, the Frodo &amp; Sam figurine's location is used. This may be the current location of the Fellowship, if the Fellowship is declared or revealed. Otherwise, it will be the last known position (LKP) of the Fellowship and the Fellowship Progress Counter will indicate how far the Fellowship has traveled from that last know position. Since the LKP of the Fellowship is always used for all rules, including Hunt re-rolls (Hunt Re-rolls use the position of the Ring-bearers figure, not the current position of the Fellowship), no extra information is revealed to the shadow player.

The Ring-bearers figure (Frodo &amp; Sam) indicates the last known position of the Fellowship. It is placed in the Region where the Fellowship was last declared or revealed (see page 38). At the start of the game, it is placed in Rivendell. Whenever rules or Event Cards refer to the current location of the Fellowship, it is determined by the position of this figure, regardless of the position of the Fellowship Progress Counter (see below).
The Fellowship Progress Counter shows how far the Fellowship has traveled from its last known position and indicates whether the Fellowship is Hidden or Revealed. This counter is placed on the the Fellowship Track on the game board and is moved a step forward each time the Fellowship advances.

The 1st Edition just flat out tells you to use the Fellowships last known position.

Hunt Re-rolls - The presence of Sauron’s servants or Strongholds makes movement of
the Fellowship more dangerous. If, during the Hunt, the last known position of the Fellowship is in a Region that contains one or more of the following... (Clip: up to 3 possible re-roll conditions)