Intersect not capturing all points

ajkelsey

I intersect a point feature class with a polygon feature class, and the resulting intersection does not include all of the points it should. 

In the image, the blue points and the green polygon are my input layers. The red points are the resulting intersection. I'd appreciate any help getting this right.

image_2020-10-22_195520.png

MadridBihari.png

ajkelsey

I've just noticed that the new intersected layer is including points outside of the intersection.