The [b]front-mounted receiver (e.g. the FMR's from Reese) idea makes sense to me. While I've never had a chance to use one, I can picture how it would work well for parallel parking. You would drive the ball to where it needs to go, and the tug just follows along... which is fine as long as the FMR helps you to do it one pass.
A couple problems might be that these are generally for body-on-frame vehicles (for ease of mounting), and that for some rigs the hitch load which is okay for the back might be too much for the front of the tug. While Reese does show FMRs for various Jeeps - even including some unibody models - it does not show one for the Liberty (it is a Liberty, right Gina?).
Glad to hear you made it back safe, Gina!
I also have a Liberty, and have been looking into a front hitch reciever. Turns out that Hidden Hitch made one for the Liberty, but it has been discontinued.
I know of one US-based Jeep shop which I called which still has 2 at $165 USD... my local hitch guy says there's two at the local warehouse he orders from. There may be more around, I don't know!
I am looking at them for a couple of reasons - one as mentioned, for moving trailers around, and secondly as a "recovery point"... you can install a winch on it, or install a "hitch shackle", to pull or be pulled.
For the Liberty, they were made to fit 2002-04, but will fit 05+ with some minor bumper plastic trimming, I'm told.
So I'm off to order one on Monday, most likely!