Yeah I have never heard it be called anything different.The Rainbow Lakes Trail #1130 is a nice hike. Roundtrip to the lake is a little over 8 miles so it might be too much for the kids to hike all the way. The trailhead is located at the end of County Road 22A.
It's North Park! I grew up not far from it and spent a couple of summers haying on the Kohlman Ranch located next to Hebron in North Park. Never heard it called anything else.