Yes, live there!!!
Hapsford - we lived in Dunham-on-the-Hill until we moved at Christmas. Very nice but smelly in the summer (they don't just use cows manure on the fields round there).
Don't live in Runcorn but you know that!
Helsby - 2 schools Hillside and Hornsmill. The school that people like to get into is Hillside. This is because all the traveller children go to Hornsmill but tbh its each to their own. They're very different types of schools and all I can say is you need to visit them and make your own mind up on that one. They have similar ofsted reports. The feel in the schools is totally different.
Frodsham - The school that people try to avoid is Weaver Vale Community I think mainly because the ofsted is worse than the other schools in Frodsham. I've not been round that school though. Frodsham C of E (Overton) is highly oversubscribed and even living in catchment doesn't guarentee you a place. The Manor is a very good school as well.
Living around the area in Frodsham I don't know what your price bracket is but there are some really good value houses with good sized gardens (but some steep slopes) up on the estate round the manor school (all the roads have Lakeland names). The houses down in the estate at the end of Ship Street are your typical new build development type of houses. Not what we like but I know a lot of people like them.
What I would say is that for some reason Frodsham addresses carry a mark up on value that I'm not sure they warrant. Personnally I think you can get nicer houses and environment in Helsby.
Dunham-on-the-hill and Hapsford are lovely areas, its just the smell in the summer but then that doesn't last all the time, its only a few days a year I guess.
If you can afford to move out of Frodsham somewhere like Kingsley has some lovely houses and has 2 very good schools. Or Norley, slightly smaller village but still has a school, shop and pub.