These are company level documents handled by the quality 
analyst.

Test stratergy is performed to estimate the cost,testing 
factors,plans,designs,Audit trial,co-existense of 
software,service levels,maintainance etc.

Test methodology is the refinement of test stratergy where
the project manager will decided what test factors need to 
be applied on the project.

 In test methodology depending on the project type the 
testing is decided.
There are three project types:
1)Traditional : Coding and Testing.
2)Offshore or outsource project: Only system testing.
3)Maintainance : Maintainance will be done.

If I'm wrong please correct me.

Test Strategy: It's about how to test a piece of code. What 
will be the approach for testing and it also defines what 
levels of testing will be conducted.

Test methodology:Its'a a broader term which includes test 
startegy also.It basically consists of the following steps:
1.Acquire & study the test strategy.
2.Determine the type of developement project.
3.Determine the type of software system.
4.Determine project scope.
5.Identify tactical risk.
6.Determine when testing should start.
7.Build system test plan.
8.Build system unit plan.

correct me if I am wrong. 
mail me at sunil.k20@gmail.com