2'3" oxer

Thursday, I ended up not doing the following in and out, even after I set it up. Chickened out.
Yesterday, it was still waiting for me as no one had adjusted it.

So I trotted in and cantered out. Apparently we were too slow in, so Sam hopped over the oxer from a standstill (love this horse). So we just trotted around to it again. This time, I trotted him up almost in a canter. Over the first and found myself looking up only and counting outloud, 1, 2, 3 and over! Perfect distance, great landing. So proud :D

2'1" vertical trot in, three strides canter to 2'3" x 2' wide oxer

With oxers, is the height measured by the highest rail? Mine is an X and vertical, so does it still count as a 2'3" oxer since that's where the vertical is?