After searching the internet for a way to add scroll bars to a block view in Drupal 7 it turns out to be rather simple.
Under advanced settings in veiws there is setting for CSS class. So I added a class to div in my custom css file for my theme. See https://www.drupal.org/docs/7/theming/working-with-css for more details about css in drupal 7.
The following classes were added:
/* Add scroll bars; define a set height for the divl and add
* a medium height for over riding the set heght
The div.outer will have a block height of 220px and scroll bars if the content overflows. The div.medheight can be used to override the height, setting it at 350px
Now in view Advanced -> CSS class setting add "outer" and if needing 350px height "medheight".
Save and clear cache and adjust heights if needed.