The mulberry tress only provides very limited shade, and the garden area itself receives at least 6-8 hours of sunshine. The only shade it actually receives is from my shed (veggie garden backs up to my shed), but it only shades the morning sun.
I haven't had any volunteer mulberrys growing, have amended the soil, have dug up the old soil and put down all new soil. But nothing seems to really work. The only thing that HAS thrived are the herbs we have planted there. The only other thing I can say, at the height of "berry season", it smells like a wine brewery. LOL I swear, the birds even get drunk.
We had thought about putting up a screen to catch the berries as they drop, but I don't want it to impede with any shading.