Should I attach purgola support to a brick fire place?

you will need more than “a couple of holes” into the house structure even if only for the shared load of the lumber, shade cover and snow load if applicable. you should always try and lag screw into the structure behind the brick. specifically the floor joists. you can also set a post at the wall onto a proper footing twice the width of the post and deep as the frost line in your area.

-- caring costs nothing

dan,
i would prefer to not drill into chimney area because we in the northeast worry about water getting into the joints and freeze/thaw damage. you also run a risk of cracking your internal flue stack (assuming it is a clay flue not stainless). so that being said, you could roll the dice with a ledger, or set a post on a footing. Of course you could also set a sky-hook which works pretty good ;)
good luck with what ever you choose

-- caring costs nothing

Allmyfingers has the right idea in the last post. It is normally recommended you attach nothing to the chimney. We used to see TV antennas and now satellite dishes attached to chimneys but this should be discouraged. A chimney is not something to attach anything to.

Thank you my friend this is beautiful and amazing story i like it good job!

-- http://www.coloringgamess.com/ coloring games flash online