Depends. If the stucco is over block or over wood sheathing different
methods are used. Which is yours?

You're typin' to a real novice here. How would one discern the
difference?

Traditional cement based stucco, or EIFS (acrylic stucco on foam
board)?

And I'm afraid that question's way out of my league, sorry. :}

Under the stucco there will be a layer of sheathing (boards, plywood,
or OSB).

In an ill-fated attempt to attach a hose reel to my house, I used a
masonry bit to drill through the stucco, but drilled through to find
empty space. My guess is the contractor used chicken wire between wood
studs as a subsurface for the stucco. Attempts to use a mollybolt were
disasterous.

I appreciate the input here.

-Fleemo