I agree that she is getting too much milk right off the bat. I have raised more than my share of bottle calves. Starting out a little slower and working up is better. When the cow first calves, the calf only drinks 1-2 pints at a nursing. The cow is not producing her max milk for at least 30-60 days. The calf does not need that much when her little tummy is not ready for it. You actually cause her system to try to pass on the excess milk over what she can digest, so it runs out the other end as scours. I start out with less, and if there is the time, 3 times a day feeding is better than twice.... more like nature..... work up to a full bottle after about 10 days to 2 weeks.
If she is eating and still seems to have the squirts, try some immodium AD anti-diarrhea . I have used it often in a calf to just slow down the speed in which the milk goes through the calf. Granted, we are different than cattle.... but a baby calf is only operating on the one simple stomach that digests the milk for several weeks before the rumen starts to get stimulated and develops. So, it works..... I try to not use anti-biotics as that will just upset the gut bacteria..... pro-biotics sure won't hurt.... but a brand new calf is just getting started, so the "true stomach" that digests the milk is what you need to protect.