Meaning of 「と おもうて」 and 「やって　まいりました」

Hello,

Please kindly help me with following sentence meaning:

むすめは はずかしそうに 「わたしは おまえさまの よめさまに してほしい と おもうて ここへ やって まいりました」と つげた。

I had translated it as:
Young woman look embarrassed, and she said "I came here and I want to became your wife"

If possible could you please kindly explain two points.

First is と おもうて, i guess it is te form of おもえる (could think), but i little bit unclear how i can put it into the translation.

Second is やって まいりました. I guess literal translation could be "do and came". But I had omited やる. I wonder that is the purpose of やる, it is possible to use just まいりました instead.

Oh, and another question. Is it fine to ask so many times, especially about same story.
My questions itself very basic, maybe it is not so helpful and interesting.

Thank you very much!

nonezumiさん、がんばっていますね。

nonezumi said:

むすめは はずかしそうに 「わたしは おまえさまの よめさまに してほしい と おもうて ここへ やって まいりました」と つげた。
I had translated it as:
Young woman look embarrassed, and she said "I came here and I want to became your wife"

Click to expand...

おもうて is an old form of おもって（＜おもう）
やってまいりました is a polite form of やってきました（＜やってくる）.
Compared with くる, やってくる has stronger sense of "towards here" or "take the trouble to come (for a certain purpose)".

nonezumi said:

Oh, and another question. Is it fine to ask so many times, especially about same story.
My questions itself very basic, maybe it is not so helpful and interesting.

Click to expand...

It's no problem at all to ask many questions, and it does not matter whether it is about the same story or not.
It is always good to see someone making so much effort to learn Japanese language, that makes me - and I'm sure other members - to feel like to offer help as far as possible.

Yeah, ask away. It's always nice to see people working to understand the language. You're doing a good job with it, too!

undrentideさん、Glennさん、

Thank you so much for you so kind help and so encouraging words.