At times.
I believe that tears during prayer are natural and sometimes coming from the Holy Spirit entering me. Sometimes tears come out of nowhere without any hint of them coming. Most of the time it’s from adoration or praying the Rosary.
I don’t really question it much and just let it happen. Praying the Rosary with being able to really focus is a very powerful amazing thing.
I think it’s normal. All our hearts need healing and we are all flawed, we are all unworthy to receive the love given to us by the Father, Son and Holy Spirit, unworthy of His mercy, yet it is been given to us freely. Knowing that and feeling that, it is hard not to weep, I think.
If you can focus and feel enough, it’s hard to not be naturally reverent, humble, unworthy and grateful.