I don't have proof as I don't care much for the Callery flowering pears, Braford is one Callery cultivar, but I have read repeatedly that they will pollinate your fruiting pears as long as their blooms overlap.

Supposedly, it did. It is not going to make any difference to you.
Because cross pollination will only affect the seed in the fruit.
And I don't think you are going to plant seeds from your pears.

Actually it will be a pluss and hep to get better pollination.

Right I don't care at all about if the seeds are viable. I just want fruit. I'll be watching the overlap, and I see some slower bradfords around, so I may just take a bunch of those flowers since I don't know where another fruiting pear tree is around Dallas (hint hint).

You have to admit though that the bradford pear trees are beautiful. With their natural full shape, their early and abundant white blossoms, their red foliage in the fall and their rapid, low maintenance growth. It is no wonder they are so popular.

I think most likely the Braford's resulted in the fruit, but their are some pears considered partially self-fruitful If you know what cultivar you can check it. Just google "pear pollination chart" and you get a lot of info to review.

You have to admit though that the bradford pear trees are beautiful. With their natural full shape, their early and abundant white blossoms, their red foliage in the fall and their rapid, low maintenance growth. It is no wonder they are so popular.

They look like lollipops to me - not my idea of a natural shape. And they are stinky (everyone's smell is different). And they are becoming a pest because they cross-pollinate now with some of the "other" sterile ornamental pears (like Cleveland Select). Look around, you can see flowering young trees in vacant lots and on the edges of natural areas now.

ugh, the smell of them is atrocious. smells like semen. worst smell ever, i can't stand this time of year, they're planted all over around the Grant Park area, and the smell is unbearable some times of the late evening.

My fruiting pear is a Moonglow, and I think tomorrow it will be in full bloom so I will bring home a Bradford branch full of flowers.

Speaking of stinky.. I read that Pawpaw flowers smell like a rotting carcass. My two 5 ft Pawpaw trees are flowering profusely this year but the flowers don't smell at all to me. I'm planning on also cross pollinating them with a paint brush.

I was told that the Callery pears were so-named because of their "pear" shape, not their blossoms or leaf-type.

I'll check into this deeper and see what I can find.

Jus cut it down and get grafted self polinator. You can get a tree that produces quite a few varieties on the same plant.