to be perfectly honest... if it were me, I would do a few things....
FIRST: My stance would be that hannah is not to have a relationship with a woman who has been on the scene 5 minutes... anything between mark and hannah would be just that - between father and daughter. Hannah can spend time with 'her' when she is a proper fixture in marks life and you are certain of that.
SECOND: I would not be having days out with an agressive moron, even without his dopey bint. If mark wants hannah to go to the zoo prehaps he can send u 2 tickets and the train fare?
THIRD: I would tell M both of the above, tell him you are NOT trying to cause a rift between him and hannah but you have concerns about strange woman in her life and her being away from you with a man she has no attachment to. I'd tell him he needs to build a proper relationship with hannah and that once he has done that, he can be away from your home with her.
FORTH: I would speak to Ms folks... just to make your feelings clear that hannah isnt to spend time with a strange woman until she is permanant and you feel safe about it (she could be a vanessa frigging george for all you know!) and that you are uncomfortable about M taking her out because they do not have anything remotely like a bond. This wouldnt be to stir... it would be so that M couldnt. I would make it quite clear that as long as there is a close bond between M and H and that the GF is a permanant figure in Ms life, your daughter isnt going off with them.
I mean... not to be funny but you know NOTHING about this woman. M cant tell the truth and she could be a proper nut or anything! He says she is Epileptic, but she drives???? No way that can be true and if it is, no way your daughter can drive to Paignton with her.
Im surprised you even have to think about this missus.... what he is suggesting is crap. how on earth is hannah going to feel comfortable with mark and that lady away from you? and theres no way you should go.. it would be horrendous!!! no way for your esteem to feel good being a gooseberry on a day out. he must be mental! poor hannah would be so distraught! he is a pig for even suggesting it... he knows she doesnt think a crap about him and she goes mental away from you.
Hannah is comfortable in my house and knows kevin... but she has a hard time being here without you for 2 hours. How is a 'fun day out' gonna make her feel with a dad she has no attachment to and a complete stranger. its just ridiculous.
I'd definitely make him build a rapport with her in front of you.... WITHOUT his gf... then slowly introduce the GF as she and M become more established... THEN let them have days out. it wouldnt be u trying to keep him from hannah... you'd be keeping the door wide open... it just requires him to act like a father in a way you are comfy with and the way he should be anyways. I know that man and my tum churns just thinking about how awful a day out with him would be for her. He actually thinks you have the lack of self respect to go along? ugh... he is a PIG!