Purple, we don't know where the OP lives but judging by the fact that the Sweet William is in flower presumably the pictures were taken a little while back. In which case Muscari armeniacum would be in leaf. In some climates, including mine it is evergreen anyway. M armeniacum is by far the commonest and weediest of the Muscari and going by the overgrown look of the beds I doubt anything choice is likely to have survived there. Since all the white part of the foliage in the photo would have been under the ground the foliage doesn't look particularly long to me. As you say Allium would be easy to id by smell. But I'm still putting my money on the grape hyacinth.

bboy and ken_adrian, Thank you so much. I have been struggling to find the name for months. So the common name is Beauty Bush that I am familiar with. The latin is Kolkwitzia amabilis. And it is the only specie in the genus. I did not notice the flower in Spring. I was not much into the tree and shrub then. How little you see if you are not interested. It is so difficult to identify without flowers if you are novice,

but do not blast it out into full sun ... harden it off .... move it slowly to sun .. or you might burn it up ... though i suspect it is apartment bound ... did you turn it for the pic ... if so ... the fact that it was totally facing the window.. is indicative of its need for more light ... ken

Thank you for your comment randy427. I believe this must be a light fixture from the 1960s when our house was built. I would like to sell it and I am wondering how to price it. I can't find anything like it online. Would you consider it a nautical style lamp?