This is a very interesting piece; I'm thinking it's set during WW I or II?
There were a lot of punctuation issues, mostly missing punctuation at the ends of quotes and comma things... my crazy grammar stuff kicking in again ~:|
The little girl sat on the bed covered in white material, watching the women as she bent down next to a pot full of bright green paint. The woman stood up, paint brush covered, as well as her face having a streak. The little girl giggled as the women flicked it, and it landed on herself(< because you haven’t established a firm POV yet, it isn’t clear who the ‘herself’ is). The woman smiled at the girl(‘)s delight, and turned to the half(-)painted wall and cocked her head to the side, asking a question of the girl,(<semi-colon, bring the next paragraph up to join this one.)
“Alisia, what shall I do with this green paint?? Paint the sky??”
“N[strike]n[/strike]oooooooo!” the girl(,) Alisia(,) giggled out.
“What about the water? Shall I paint that green?”
“Nooo!” Alisia could nearly not answer from laughter now(.)
“What shall I paint then(,) my little giggle monster?”
“The trees mummy!!! The trees and the g[strike]u[/strike]rass!!!” The girl fell back on the bed, laughter pouring out of her. The women smiled at her child’s enjoyment. As Alisia fell back, she saw a young man walk past
“Mummy Mummy!!! It’s Mat-hew!!!”
“Oh, is it? I don’t think so. Well, we better finish with this green before he comes in, shouldn’t we(?)”
Alisia nodded vigorously. The mother smiled again, then turned back to the wall she was painting. She had nearly finished, and would only have to do touch up’s(<no apostrophe here. Touch ups is a plural word, not the owner of tomorrow :P) tomorrow. She heard the front door shut as she started the last little bits of the green. Banging and crashing noises were made as her son looked for food in the kitchen. Barks were made as their golden retriever puppy, only 1 year old, bounded over to him and knocked him over, from the sounds. She finished the last tree as she heard all this, then looked up to see her son standing in the door way. She smiled at him, as he picked up a brush with bright yellow on it. Her daughter was still lying back on the bed, watching the clouds as they went past. He made a quiet sign at his mother, before creeping up to his much younger sister. He darted at her,(<no comma here) and painted a long strip down her neck. Sitting up quickly, she squealed,(<no comma here, either) before jumping off the bed. Giving off a laugh, she grabbed up a brush with red on it, and chased her brother around the room. The mother stood there laughing at her children(‘) antics, and(,) hearing her laughter, the children turned on her.
“No” she said as she realized what they were doing. “No, no, no!”
Both [strike]let out loud laughs[/strike][b](laughed <it’s more concise and easier to read), before starting to chase their mother around the house, their dog, Rugged(,) barking loudly as he joined in the game. They got near the front, and while Alisia and Rugged kept chasing their mother back into the kitchen, Mathew stopped at the door and looked through the screen. He could see the planes flying over head, and though you couldn’t hear them with his mother’s painting music as high as it was, he knew the sounds they would be making. Sadness crossed his face,(<no comma) as he remembered his father, whom he was named after, who would be in one of those planes. Suddenly there was a tap on his leg, and he looked down into Alisia’s face.
“Can you see daddy’s plane Mat-hew?”
He bent down and picked the girl up. He looked over her shoulder to his mother, who smiled sadly at him. He looked back into Alisia’s face, still adorable at the tender age of 5, and smiled at her.
“No. Dad will be somewhere safe, helping people who are injured, just like he did when he was home. Alisia smiled at her brother,(<no comma here) before tucking herself into his shoulder. Yawning, she spoke to him as she started to fall asleep.
“Wes, of course, Daddy is always helpful(.)”
As Alisia went to sleep on his shoulder, Mathew looked up to his mother. She smiled at him sadly once more, before retreating into Alisia’s room. Mathew carried Alisia into the room [strike]she was sharing with Mathew[/strike](they shared while hers was being painted <I assume that’s what you’re saying...) while her room was being painted, and put her into the bed[strike] in there[/strike](< the ‘in there’ is supperfulous, in my opinion). He left, shutting the door quietly, before returning to his mother in Alisia’s room. Upon entering, he found his mother sitting on the bed, staring out the window, tears rolling down her face. Going to sit next to her, he wrapped his arms around his mother.
“Still no word mother?”
“No Mathew. They have still not found your father(‘)s downed plane, nor the injured passengers he was carrying. I’m sorry(.)”
He stared at her face. Clad with a smile when she was around Alisia, it was now sad, (and) tears streaked down her face. Hugging her more tightly, he tried to reassure her.
“It will be fine mother. They will find father(.)”
She hugged him more tightly. She always felt a little sad, looking at her 13 year old son, who had had to grow up so fast, [b](< ; or : rather than ,) when his sister was born [strike]we [/strike]he was 8 and his father was not around. Now she tried a weak smile on him, before returning his hug.
“I know Mathew. Now, you better hurry to bed, you have school in the morning, and I need you to walk Alisia to playgroup before you go(.)”
“Of course mother(,)” he kissed her on the cheek(.) “Goodnight(.)”
“Goodnight my son(.)”
She watched him leave for bed, before looking out the window once more. With a sigh, she sent a prayer to god, asking for the protection of her children, and the safe return of her husband soon, before going to bed herself.
I'm not sure about the last conversation... it doesn't really flow as well as the rest; like how the mom talks about how they haven't found the dad. It sounds like you're trying to work the exposition into her words, when the more natural statement would be 'no, there's been no news' period. I'd suggest playing around with that scene a bit more.