Maximum operating temperatures of different lead acid batteries
There are industrial batteries that fall into your requirements.  You would need to read the specifications to know if a particular model is recommended in that range.  

I have used the Hawker Genesis under extreme circumstances, but not those that you describe.  However, the specifications (pdf) indicate that GnnEPX are rated for -40 - +60 degrees C for storage, discharge and charge.

This is just one example, you would want to review the specifications of the particular model(s) of interest.

Edit:  The general answer is that most lead acid batteries will NOT be rated for 60 C.