Spiders - a symbol of poisonous and sinful desires, on one hand, and an emblem of skillful and creative attitudes, on the other hand.
The spider could represent the dependent emotions and conflicts you feel 'caught in' connected to mother or family, any emotions you don't want to handle such as those surrounding a spouse leaving, wanting to ensnare or feeling trapped by someone, and the basic survival instincts in you like the spider might have...."Can I eat, or will I be eaten in this meeting or relationship?" This level of sensory and feeling perception is important. Like a spider, it keeps one foot(finger) on the web or influences that connect you with other people and the world around you. Like the spider, if you are wise, you have an intuition of what is coming your way....."Should you advance and confront, or do you back away?"

Sometimes a spider represents female seduction which "devours" of the male.
If you are female, you may want to reconsider your behavior, and actions, as they may look patronizing, overprotective, or demanding.
If you are male, it could suggest that you are feeling trapped by, or under the spell of, a female somewhere in your waking life.

Daughter - The daughter can represent what happens in the marriage, or 'union', of the parents. The child is what has arisen from the bonding, however momentary, of two people. In dreams, the child is sometimes used to depict how the relationship of parents is faring.
(IE: a sick daughter might show the feelings in the relationship being 'ill'. A rebellious child may suggest the parent feels their relationship is conflicted...a kidnapped child may suggest that there is something missing or 'gone' from the marriage, or relationship).

Alternately, the daughter could be a representative of your childlike emotions, or your weaknesses. As with any loving parent, our children are our weaknesses. We give them everything we can, and we'll go to any lengths to keep them protected and safe.

Chasing - usually represents the feeling of being under attack...as though you feel someone, or something, is out to get you. Often these pursuers represent current tensions, or issues. This dream usually shows the level of stress you have at the moment, and is a signal to take control over the worries and resolve issues with a clear head.

Alternately, you might be trying to avoid something. Identifying what, or who, the chaser(a spider) represents, might clarify what you're trying to avoid. If what is chasing you is identifiable as a part of yourself, the dream might involve a fear from within, such as an unhealthy relationship or unhealthy behavior.

Spider bite - Bites/biting - suggests you feel danger from someone who has wished you harm, either physical or monetary.
To dream that you are, or someone else is being bitten, represents a vulnerability regarding unresolved issues emotions. Also, you may be feeling that you are being pestered by a problem or obstacle.

Cut open the bite - represents your efforts at trying to confront a current situation.

Another spider - suggests that even with your best efforts, what (or who) the spider represents is able to continue on. Making you feel as though your actions are fruitless...or worse, that they(who the spiders represent) are completely unstoppable.
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Is there someone in your life who, you feel, is trying to use your children, or a similar 'weakness', to 'get to' you?
Is there something that you may have, or should have, done that you've used your kids as an excuse to do it...or not to do it...and now could feel guilty as a result?
Are you in a situation in which you feel trapped, or do you feel as though you have trapped someone else?
Are you in an 'Eat or be eaten' situation, and it's taking you away from home a lot....thereby making you feel as though you're not home enough to 'protect' your children?
Do you feel as though a current relationship (personal or business), is becoming rather 'poisonous' lately?

Spider dreams are a tough and touchy dream subject. There are so many factors and possibilities involved. I hope I could give you some insight.
Good luck!