I think there's some confusion.
1st, I added the batts for illustrative purposes only. What those batts are, their voltage, is not relevant here.
2nd, the ckt in 1st post is from a TI PDF, I did not create the ckt illustration.
3rd, if the TI illustration indicates "-2.5v" for the OA "V-" connection, then the batt symbol used, along with the "+" sign should indicate neg voltage on OA V- pin.
Like this.