Welcome to All Things Plants, Kathy!
I agree with Tom (Coppice) that they could very well be garlic bulbs that haven't divided into cloves; mine will do that if it's planted in the spring and then harvested that summer, instead of planting in the fall (my growing conditions are obviously much different than yours, however!). I would go ahead and plant them now, whole (unless you can definitely make out a separation of cloves without cutting into them), pointy end up, about 3" deep. Depending on what they do next spring/summer, it should be much easier to figure out just what they are. Once they're up and growing you can post more photos here and hopefully get a better ID. I think it's doubtful that you will be able to find out the exact variety of garlic that you have (assuming that it IS garlic), but we should be able to help you narrow it down to the type of garlic -- at least to hardneck or softneck. I hope you have good luck with growing it -- you will have a true heirloom passed down from your grandparents!