Marydoll and Paddyann
The expression in our family was: "Never go visiting without something in yer haun." However, I was a bit nervous about putting that in a post! Now that the groundwork is laid, I feel a bit more comfortable with the risk of causing unintentional merriment.
And oh yes, we aye gie the bairns a "penny", which in my childhood was usually 3d or 6d if it was a grandparent, but these days is £1 and some parents don't like you doing it (so I always ask the adult unless it is a child I know).
We always give a coin to a new baby as well. My great grandparents used to put the coin in the tiny fist "tae gie the bairn a gweed grip o' siller", but I reckon that habit died out when parents realised how quick off the mark you had to be to stop it going in the wee mouth.