Hi Scott Bates,
I switch the "Example_I2C_MasterSlave" for use it with I2C1 on pins P0_25 and P0_26 and works fine, my interrupt was firing.
There is some mistake in SYSAHBCLKCTRL register bits in "lpc8xx_syscon.h" define the clock for IC21 in the bit 20, but really this bit is reserved, the clock is in the bit 21, so you have to change that, maybe this was the problem, another recommendation is to be careful with the function (Pinassign) with which you assign the pin for SDA and SCL in I2C1, it is a little different than pinanable in I2C0.
Tell me if you can solve it, and if you still having problems please give more details about what are the exact changes that do for switch to I2C1.
regards,
Miguel.