Search the web for rabbit figural Depression glass. If yours opens up, like a box, it's likely a candy or cotton ball holder. The Glass Chalet website has pictures of the chikens and rabbits and other figurals - www.glasschalet.com

If I understand what you are saying, you have a covered dish with the cover being a rabbit with ears laid back.
You say it's like a Hen on a nest type of glass, so I guess that it's opaque, like slag or milk glass.
This type of thing has been much reproduced....but Indiana Glass did make some old Rabbit on a nest dishes in slag glass.
You don't say how big it is...
It could be made in the '60 or it could be made in the 1880's. Can't say without a picture.
Linda c

...and here's my 2005 Chinese version from the $ store. I know it's crude compared to the "real" stuff, but the price was right for Easter Candy:

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the rabitt i have is twice as big as a chicken on a nest and is more square with its ears down in brown depression colour.just cant find any info .could it be eropean glass

Hens on a nest vary greatly in size...I have a very tiny and have seen ones that are huge.
You say "brown" but no mention of it's opaque like slag glass or clear glass.
I suppose it could be European but the animals on the nest were pretty much an American thing.
Linda C

this rabitt i got is almost rectangular with rounded corners about 10 inches long and 7 inches wide and has light brown wrinkly glass impresion like fur i supose

joe, I understand you don't know how to do the picture thing as you mentioned earlier. Does that including emailing photos as well? If you know how to email a photo, if you'd like to email me any pics you have I'll be happy to upload and post them here for you. Just click on my ID.