My mother has two plants in her garden and she isn't sure if they are weeds (where she would be getting rid of them) or actual plants. We are just curious to know what these are:

Plant 1:
http://img.photobucket.com/albums/v705/tanyaw1991/DSC00025.jpg
http://img.photobucket.com/albums/v705/tanyaw1991/DSC00024.jpg

Plant 2:
http://img.photobucket.com/albums/v705/tanyaw1991/DSC00023.jpg
http://img.photobucket.com/albums/v705/tanyaw1991/DSC00022.jpg
This is the first tine we've seen it, so I wouldn't know if it flowers or whatnot. Although a few people have said it looks like a plant which would produce melons, which is quite exciting. :-) But it hasn't flowered or anything just yet, so I can't give any more photos to help. It's just a big, leafy plant at the moment!

Plant 1 is a type of wildflower. Unfortunately I can't remember the name, but my wife is growing it on purpose in her wildflower garden so theoretically it isn't a weed.

Plant 2 looks like something from the squash family to me, but possibly could also could be some sort of Hollyhock.

Plant 1: I think is japanese knotweed, get rid of it if you can or it will take over!
Plant 2: looks like a melon/pumpkin.