The questions that comes into my mind are:
1.why are you looking for a new position? are you actually happy were you are or are you miserable and need a change (or even just bored)?
2. 60% is a significant increase - but does your family need more money? Are we talking about finally being able to become debt free (or just pay the bills) or an extra cruise every year?
Without those pieces of information, it is difficult to provide concrete feedback.
But - here are some of my thoughts:
If you are unhappy at your current job or bored even, I'd suggest taking the job. You may be able to negotiate one office day a week or two a month or something like that. Then there would be certain days in which you could be more flexible with spending time with your child (no commute time).
If you are happy - then I'd explore ways that you could grow at your current company with your manager / management line.
If you need more money for bills or becoming debt free or saving for important upcoming needs (like emergency fund savings): take the job. consider it a phase and give it a shot.
If you are actually really well-off and this would be extra cruise money - I'd still explore why you are looking around and how you can get that at your current position.
All in all, I'd consider either option as a phase in your long-term mothering and career growth. Either way you go, a change is going to come later on. :)