Thanks for all the help. I used a tear away stabilizer underneath the whole piece of fabric - figured that was easier than trying to keep a smaller piece in place.
There are 10 blocks in the quilt so I have time and space for learning. LOL. 5 of the monsters come from a great pattern I got from a QB member. Pattern is upstairs but the name is along the the line of "Planetary Monster Quilt". 4 of the blocks are drawings I made after googling monster and getting some ideas and the last monster was frawn by my 12 year old granddaughter. I'm making changes in several of the blocks so they don't look so much like space monsters.
I'm going to play around some and try adjusting the tension. Gonna try heavier stabilizer and I'll also try starching the background fabric. I may even go so far as to layer this one block and do some quilting on it to see if it will look ok after quilting. If not, I may take out some of the satin stitching and try to redo it.
Hope everyone has a great day. I have to go grocery shopping this morning :-( and then will sew after I get home.
:-)