I had no problem trusting my two older boys and did not need to meet their dates until they believed there was some substance and some reason for us to meet her. They did NOT get engaged immediately after we met them and we did not push them to. We allowed them to handle things themselves with our support.
My youngest who is currently dating and in a whole different category as the others, is currently dating someone that I knew before he did. This young very adorable young lady is always out our home. They don’t spend as much time at her home as they do here so we got to know her better than the other side.
I think it is up to the kids the way they want to handle it and no one should put pressure on them because they feel enough pressure to begin with. What is the point of parents going to meet the girl and tagging along? Especially on the first date when there may not be a second date? It makes the boy look immature and too dependent on his mommy and daddy. If the kids are old enough and mature enough to get married, give them some space and be patient.