Agreeing with most of the other comments here, we would suggest fixing the roof first to correct any water issues that may stem from it (i.e. ponding water near foundation, etc.) as well as gutter repair or install to run the water from the roof away from the foundation and home . In addition, its a good idea to look at the ground around the home to ensure that during rain or precipitation events, the ground runoff water is flowing away from the home or at least divert it away from the home if possible (i.e. adding drainage, etc.) before addressing the foundation. If you hire foundation professionals that take the time and care to properly raise the home and replace or repair foundation correctly, there should be no issues with the roof or any other aspects of the home. Hire a fully insured and licensed company always! Hope this helps!

Each home is different, so it is suggested that you have it all inspected before making a decision as to what to do about it.

My best friend just had a similar issue, snow melt caused his to flood, it was not the cheapest fix, but a proper french drain dug around that section of the house was the soltion for him. 

We agree with everyone that notes to fix your roof first, including any gutters and downspouts. Remember to be sure to run the water AWAY from the home. Water coming down around the drip zone of the foundation is a big problem and can be addressed with those initial steps. Then, you can and should address the foundation with a reputable foundation contractor. Water kills a home. Use the top down rationale and control it. But definitely fix that foundation but after everything above is corrected. Good luck.

You might consider trying to add a new layer of ceiling drywall using GreenGlue sound proofing adheasive. This gets installed without removing anything too, it should be noted . This will be the most inexpensive aproach but may not be a complete cure. And you'll only lower the ceiling by about 5/8".

 You can look up Green Glue on the web for more info and where to to purchase.

Do your roof first and stop water entry. As a general contractor we see these all the time. In almost all cases the foundation repair can be done at any point even if it means lifting the house and replacing the foundation. But water entry will continue to do damage if unchecked. So do your roof first. 

If you don't want to loose ceiling height, you will need to remove the celing covering to gain access to the floor joist cavities.

A product we've had great sucess with is Roxul (http://www.roxul.com/residential/create+a+quiet+home/which+safe+n+sound).

Dennis is correct, NARI is a great resource.

Locate a contractor that has a good relationship with a structural engineer. Between the two, they should be able to come up with a good solution.

I'm a little late geting to the party, but are there any pictures of what;s going on? I agree with Dennis, but there are many reputable contractors that have great relationships with structural engineers, and can work together to help you. If you don't have someone you normally work with, contact your nearest professional remodleing association (NARI or NAHB) and get a reference.

Hire a structural engineer to determine if there is a problem that needs fixing.  If there is he will give you a report and or drawing detailing what to do.  Then call 2 or 3 Class A Building Contractors who are in good standing with BBB, DPOR, have sent you certificates of insurance and current references have checked out. Give them each a copy of the engineers report so they know how to qoute the work and go with the one you feel most comfortable with.  

I jsut had a new house built and the concrete foundation had a settling crack that ran from the casement window to the floor.  THe only way we resolved it was to hire a local basement waterproofing company (Crack-X - Natick, MA.) who utilized polyurethane injection to seal/fill the crack from the floor up to the window.  It was rouhgly $700.00 for the job.  Some DIY Kit info I found useful can be found at website:

https://www.youtube.com/watch?v=dggJsJ2f1dU

Hope this is useful.

Thanks.

-- Jeff

All concrete has cracks. The difference is if it leaking or getting worse. Call the local wterproofing or mudd jacking contractor for a site visit.

We suggest addressing your foundation issues first. Everything rests on your foundation. Even the slightest movement may affect everything above. Before you invest in a new roof, be sure your foundation is corrected.

Roof first, then foundation. (not saying that just because I'm a roofer :)
Gutters are likely involved too.

Fixing the foundation should not undo any efforts spent on the roof and gutters.