Thank you so much! I don't know if there are mulberry plants around here but either way I am going to try and dig them out and see if I can get more plants. That was very informative! Thank you thank you!

That one plant in the top photo looks like it might have a mulberry fruit on it. Doesn't seem possible but check for that.

That is very curious, what you are referring to I thought looked like it was a flowering bud but I was wondering why it was showing up on the seemingly younger looking plant and not on the more mature blackberry! I haven't seen any blackberry flowers or flower buds on the canes yet. I'm definitely going to dig the younger plants out and see what happens! Thank you!

I think most of what your are see are careless weeds. Blackberries have leaves in 3 sets, one at the end and 2 opposite of each other. In the second picture in the very center, the dark green plant looks to be a blackberry.

Thank you for your input! I kind of went back and forth with the idea that it could be weeds but they looked kind of similar to the blackberry as far as the leaf shape to me, but you are right they do not have the leaves in 3 sets like a blackberry, except for a few of them. I also had not seen any weeds that resembled these before so I have been hesitant to pull them in case they happen to be fruit bearers! Perhaps I will dig them out and stick them in a pot just to see what happens? Couldn't hurt I suppose!