OP here with couple of replies.
@Veronaz: With me assuming the worst case scenario (ie: lodger refusing to vacate room), I can find legal advice and therefore be prepared to take whatever action is legal where I live. The relevant govt agency is not available on a weekend which is when lodger should be moving out.
@ a few posters: I never asked Lodger were she was going to next, and I don't really care and to be honest I don't want to know. Her mail can be re-directed by the post office, a service that you pay for. And once again, I will presume here

, Lodger will not want to pay for that and will expect me to forward her mail onto her. Yes, I will do it, BUT, I will not suggest or offer to forward mail, Lodger can remember to ask me, before she goes.
@ 'reasonable treatment vs reasonable hour' : Game of 'telephone' anyone

? Somehow me saying that I am required to be 'reasonable' with my dealing with Lodger and moving out (as required by law) became me acting unreasonable and wanting my lodger to vacant an a 'reasonable hour'.
If, the only time Lodger's uncle can move her and her clothes is 2am, I don't mind (well, a little bit). When I told lodger I was giving her notice, I said I would work with the day (Sat or Sun) and time that her aunt and uncle were available to move her and her clothes, and to let me know, so I could be here. Aunt and Uncle take their children to sporting activities so I was trying to do the right thing by all concerned.
Here is Oz, when you rent a property, you are given a move in/move out time by the property manager, eg 10am. You cannot get the keys before and when moving out, everything must be out and everything clean by that time and keys handed in as well. If you want a few days to move, then you take the few days but are still out by the designated day and time as per your lease.
BG re Lodger: Originally when lodger moved in, she was meant to move in at 11am (her choice of time) on the Saturday, but her uncle turned up early so she ended up with me a little earlier between 9 and 9.30am. So, her 'time' should be up 9.30am this Sat but I have not asked her to abide by this, giving her the whole weekend (taking into consideration her nieces and nephew and their activities).
After receiving advice from Govt Dept yesterday, I am adjusting the move out day and time to the Monday at 6pm. (Me giving Lodger 2 days 'free' could come back to bite me as she started paying rent on the Monday). It's a 'grey area' .. I'm not telling Lodger she has the extra time (Lodger is free to get her own advice if she disputes the timing), but if, she hasn't moved out by Monday evening, then that is the time I can take action to evict her without that 'grey time' being an issue. Was also advised tell Lodger that I have someone moving in Monday evening, whether or not I have, so there is a deadline that the room will no longer be free for her use.
I really don't believe that Lodger will damaged anything deliberately but if something should be accidently damaged, our paperwork will allow me to claim costs from her.
I edited this post as I now realise that I used a name for a game that I should not have. And from now on will educate my friends on the alternate name. I apologise for my lapse and hope I did not offend any readers.