Accident at work - property damage help!

Should anyone ( agency in this case ) be giving out you personal details ,who to say the owner of the damaged car isn’t going to find your address out & turn up on your door step
I instructed my mrs / my girl to only give out ins company / policy no & reg no ( though most take a photo anyway these days of reg ) , both have been instructed under no circumstances to give out name / address or tel no.
I personally would be having a word with the agency about giving out my personal details