Pilgrim or Rainbow Art Glass Vase?

In my research about this little (5 3/4 inches) handmade glass vase, I came across two possible art glass companies, who made similar pieces - Pilgrim and Rainbow Glass. I thought I would ask here if someone knew about any nuances that would point to one company or the other.

The ribs are on the inside, and the outside is smooth. The curlicue around the neck seems to be a differential point, but posts with similar curlicues weren't definitive. There is a pontil on the bottom, as well as an small oval indentation. What I originally thought was a signature, I think now is just a collection of bubbles, but I'm not sure. The color is very vibrant. It's weight is 1.38 lbs. Any comments will be gratefully appreciated. This will join my permanent collection, and I am interested in knowing who made it
and, if possible, the general time frame.
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I used to own one just like this!! Donated to GW a couple years ago when I decided to rearrange the items on the kitchen windowsill.

I think the piece around the neck is called "rigaree?"

 

How amazing. I'm sure the light went through it beautifully. It has such jewel tones to the color, though, it looks like cranberry is what sells. Thank you for the search term!

 

Yup, rigaree is what the frill is.

 

Excellent. Thank you.

 

Date it to the 1960's and '70's, That's when that color was popular.

 

You better believe it! When we bought our house 15 years ago the bathroom had the original avocado green tub, toilet and sink

 

Thank you. I didn't put that together, and I live in the land of avocados!

Well I'm not giving up my vase for you to decorate with!