Mr. Walker, you are correct. Identifying a tree is the first step in plant diagnostics

First of all, let’s see that you have a honey locust tree. Check photos and general information here: https://plants.usda.gov/home/plantProfile?symbol=gltr

You are not alone in having difficulty growing a honey locust tree. See: https://planttalk.colostate.edu/topics/insects-diseases/1400-10-honeylocust-decline/

For comparison, here’s information about the “Tree of Heaven.” https://www.invasivespeciesinfo.gov/terrestrial/plants/tree-heaven
and

https://ipm.cahnr.uconn.edu/invasive-species/invasive_plants_tree-of-heaven/
and

https://extension.psu.edu/tree-of-heaven

It is not probable that a “tree of heaven” springs forth from the rootstock of a honey locust tree.

As to your last question, Mr. Walker, here is information about how to “curb the enthusiasm” of your wildly-suckering honey locust: https://southtexasrangelands.tamu.edu/files/2021/11/how-to-control-honey-locust.pdf Please note: follow the instructions on the label of herbicide you consider using; “The Label is the Law! “Remember that this is not a quick, one-step process; you must persevere and follow through.

If you have any further questions, please do not hesitate to contact Colorado State University Extension.

Sue, Weld County Colorado Master Gardener