Catherine of Siena whose feast day is 29 April was known to have this gift
"This gift of tears differs from normal tears both in what triggers it (it is triggered by an experience of God, not by natural pain or sorrow or joy, for example), as well as in how it occurs physiologically – generally, these tears are abundant and are not accompanied by the usual kind of sobbing or the distortion of the facial muscles. So you can see that your instinct was right. Someone who has a particularly sensitive nature may often be moved to natural tears by beautiful spiritual realities. This can be a very good thing, but it may not be, strictly speaking, the same as the gift of tears. Likewise, someone may go through periods or moments when their natural sensitivity is heightened (by stress or exhaustion, for instance), and this could make them more susceptible to shed tears in response to normal emotional stimulation – perception of beauty, sorrow at sin, etc. This type of crying can be emotionally renewing and of great benefit for the person (crying releases many hormones and toxins that are known to reduce stress levels), even though it may not, strictly speaking, be the gift of tears."
https://spiritualdirection.com/2015/01/ ... t-of-tears