A really big problem about "mother's day" article

This could be long but interesting:

it come's from an article from from NG website:

http://news.nationalgeographic.com/2015/05/150507-mothers-day-history-holidays-anna-jarvis/

 

Here's quote:

<em>Hering didn't suggest a specific day or month for the observance, though he did note a preference for Mother's Day falling on a Sunday. Local “aeries” of the Fraternal Order of Eagles took up Hering's challenge. Today the organization still bills Hering and the Eagles as the “true founders of Mother's Day.”</em>

<em>
</em>

<em>
</em>We've been disussing a lot on this, but still cannot understand:

1. whom the "organization" in last sentence stands for?

2. whom the "Eagles" in the last sentence stands for?

3. Whom "aeries" means stand for?

4. Whom actually billed whom?

 

My understanding is:

1. "organization" = Local aeries mentioned in previous sentences.

2. "Eagles" in last sentence = The Fraternal Order of Eagles

3. "aeries" = some local organizations of The Fraternal Order of Eagles

4. Local aeries still bill The Fraternal Order of Eagles and Hering

 

My friends understanding is:

1. "organization" in last sentence = The Fraternal Order of Eagles

2. "Eagles" in last sentence = Members in The Fraternal Order of Eagles

3. "aeries" = some local places of The Fraternal Order of Eagles

4. The Fraternal Order of Eagles still bills the members and hering

 

Another understanding is:

1. "organization" in last sentence = A new organization which holds the Mother's day but not mentioned in the article

2. "Eagles" in last sentence = The Fraternal Order of Eagles

3. "aeries" = some local places of The Fraternal Order of Eagles

4. The not-mentioned organization still bills The Fraternal Order of Eagles and hering

 

May I have your help and answer??

"have been doing", what kind of grammar it is? How to use it? "have been doing", what kind of grammar it is? How to use it? I cannot really understand grammar like: Have been doing Have done etc..

[Lesson] Do you know how to translate in to Mandarin/English from Beijing Dialect? I'm going to post some notes every week to let you know something about how people real communication everyday. It'll be in the most authentic / native way, maybe use some Beijing dialect. You my try to translate into English or Mandarin so that will help you on reading/writing/understanding on Mandarin. 今儿晚上我们家吃饺子，三鲜馅儿的，我的最爱，巨好吃。 俗话说，饺子酒饺子酒，饺子就酒越喝越有。结果今儿哥们儿破例喝了两盅儿。 实在太香太地道了。 这日子口儿应该跟男女朋友一起玩儿去，可惜哥们儿单身，他们都出去了结果我就落单儿了。 一会儿还得去自习室学英语呢。

Mandarin Speaking Lesson: 1 (Raise up your question!)

I'm going to post some notes every week to let you know something about how people real communication everyday. It'll be in the most authentic / native way, maybe use some Beijing dialect.
I'll try to add English translation following, please correct me if there's anything wrong.

Beijing Dialect:
今儿中午我跟我哥们儿一起吃饭去了。
我骑车从学校到他们单位楼下，等了他一会儿。
他下来之后我们去了他们单位旁边儿的一个饭馆儿，一人吃了一红烧肉煲仔饭，还喝了俩汽水儿。
煲仔饭还真挺好吃，就是有点儿撑着了。

Mandarin:
今天中午我和我的朋友一起吃了饭。
我骑车从学校到他们公司楼下，等了他一会儿。
他从楼上下来以后我们去了他们公司旁边的一个餐馆，每个人吃了一份红烧肉煲仔饭，还喝了两瓶汽水。
煲仔饭很好吃，但我们都吃得太多，感觉有点撑。

English:
I went for lunch together with my friend this noon.
I ride bike to his office from campus, and waited a while.
We went to a restaurant after he went downstairs and met me, we took a 红烧肉煲仔饭 for each of us, and drank 2 bottles of mineral waters.
煲仔饭 is delicious and tasty, but we ate too much and felt stuffed.

Do you know where the picture is taken? Really want to find someone as F2F language exchange partner Following shot was in this February. Do you know where it was taken? It seems there're lot of foreign language speakers no matter English, French or Japanese in workplace, university or somewhere. But it's hard to me to strike up a conversation with anyone of them! I really want to have someones as language exchange partner, not only, but also can be good friend in everyday life.

Just want have more friends! I'll teach you Perfect and Authentic Chinese or Beijing Dialect Hi Everyone, Greeting from LvHao. I'm from China and native Beijing people, social, patient and a foodie I am, pronunciation of Mandarin is perfect and will teach you perfect Mandarin or Beijing Dialect if you like. I'm looking for any other language Speaker in the way of face to face as i'm going to broaden my horizon. I know everything about authentic Beijing traditional Culture, tourist spots, foods, snacks. I'll guide you in Beijing if you come around. I like sports (good at swim), semi-professional photographer with personal website, play drone (DJI), Guitar, have golden fish/koi/turtle as pet. Waiting for your message! Attached a aerial view picture shot by my drone!