Personally I really like this shrub if you have the space. The leaves are architectural and shapely, it has the advantage of being evergreen, it is tough and shade tolerant and it produces fabulously fragrant chains of yellow flowers like miniature daffodils in mid Winter. (At least that's when they flower in the UK.) So if it's not invasive in your area I would rake up the fallen leaves for the dog's sake and then give it a chance for at least one year to see if it wins you over.

Thanks. I did think that plant looked a lot like mine - the only thing is the fleshy fruit thing in the second image on that link. Do all Podacarpus get that?

LOL How could I have been off by 2 lobes??? Now that I looked at it again, it has 5 on most leaves. Sorry for the confusion. If you don't know what it is Ginny I'll repost with the photo and a better description. Thanks for your help, Kate

Looks (and sounds) like camomile, Matricaria recutita, to me. This is an annual so could very well pop up unexpectedly from some disturbed seed source.