Is Queens Anne's Lace (plant) related to wild parsley?

Question

The Parsley flower in my garden looks very much like Queens Anne's Lace Flower at the park.

Answer 1

Looks like your right,

All in the family: Queen Anne’s Lace is a member of the Apiaceae, or parsley, family.  It is the ancestor of the domestic carrot, and is related to parsley, and the aforementioned poison hemlock and fool’s parsley.

Answer 2

Yes, Daucus carota or Queen Anne's Lace is in the parsley family as well as many other plants including a lot of water plants.