Family life
Out of all the members of the family, her father Peter abuses her the most, making her the butt of his jokes and picking on her numerous times. Occasionally, when Meg asks a question to Peter or just speaks when he is in the room, Peter responds by saying "Shut up, Meg". Despite this, he is shown to care deeply about her in various episodes, such as in "Meg and Quagmire" when he goes out of his way to prevent friend and neighbor Glenn Quagmire from having sex with her, and in "This Little Piggy" where he tries to get Meg out of a foot fetishism business. In later seasons, Peter's kindness towards her is more open, sometimes showing remorsefulness in certain situations.
She is jokingly implied to have been unwanted by Lois and Peter numerous times in the show. For instance, In the episode "Stewie Kills Lois", Peter tells guests on a cruise ship about how he and Lois had gone to get an abortion but decided against it when they arrived at the clinic and found out the abortionist had one hand. He then says "two and a half months later, our daughter Meg was born" – Much to Lois's embarrassment, causing her to get mad with Peter. In numerous episodes, she is jokingly implied to have been dropped off at a Fire Station when she was an Infant, such as in "Ratings Guy" and "Baking Sad".
Brian's attention initially softens the lack of respect from Peter and the rest of family; he admits that he cares for Meg when she goes out with Mayor Adam West. While initially seeming to have more common decency for Meg than most people, this appears to almost completely disappear after the tenth season, as Brian's increasingly shallow and self-centered character begins to take more pleasure and joy in being rotten to Meg and often refuses to give her the time of day, such as desperately trying to avoid having to comfort her, finding humor in her being puked on, and even willing to deliberately urinate on her bed. Stewie on the other hand occasionally shows disdain towards her due to his personality, but softens up towards her in numerous episodes. In "Stand By Meg", she saves him from choking to death on a grape, earning his respect towards her. He is also shown to prefer sitting on Meg's lap numerous times throughout the show, as opposed to Lois. In some episodes, Brian and Stewie attempt to help Meg numerous times throughout the show, such as in "Leggo My Meg-O", where they rescue her from Human Traffickers, and "Baking Sad", where they help her start up a cookie business.
Her most significant relationship is with her brother Chris, where he sometimes shares the brunt of the family's abuse just like her. In numerous episodes they're seen teaming up, such as in "The Heartbreak Dog", where they both steal from a retirement home to get back at the residents mistreating her, and "Young Parent Trap", where they disguise themselves as a young couple to spy on Peter and Lois on vacation. Despite this, he is sometimes shown to abuse her, such as in "Better Off Meg" where he capitalizes on her falsified death to gain popularity within school (and kidnaps her when she comes back).
Meg's most complicated relationship among the family members after Peter would be with her mother Lois. Although not as abusive as Peter, Lois seldom (if ever) reprimands her husband for their treatment of their daughter and tends to be rather thoughtless of Meg herself, often putting her down for her lack of social achievement or social popularity. Throughout the series, Lois can best be described as a general foil to her daughter, being more rebellious, outgoing, and loose-spirited compared to her daughter's own uptight demeanor, easily-embarrassed personality, and lack of confidence. Before the more recent seasons of the series, Lois has also often shown sympathy for Meg and tried to boost her confidence in terms of teenage social matters. Despite this, such occasions resulted in her former getting carried away and stealing the show from Meg, such as in "A Fish out of Water". The most significant example of her cruelty towards her would be in "Stew-Roids", where she encourages Meg to commit suicide by giving her a Sylvia Plath novel and a bottle of Ambien, proclaiming "Whatever happens, happens". Despite this, she is shown to deeply care for her in numerous episodes by having a normal mother-daughter relationship and going out of her way to defend her. For example, In "Barely Legal" she is angered when Brian confesses to making out with Meg at her Junior Prom, and in "Snapple Decision", she defends her from kidnappers who attempt to abduct them during a vacation gone wrong.
While she is well aware of how poorly she is treated by others, Meg is usually much too fragile and passive to push back or retaliate against her family and school tormentors. The family's treatment of Meg, however, finally reaches her limit in "Dial Meg for Murder" when Meg emerges from a short stint in a Young Offenders Institution as a hardened criminal, abusing her family and beating up anyone who makes fun of her. It is only after a conversation with Brian that she changes her ways. However, it comes to a head once again in "Seahorse Seashell Party", when Meg finally grows tired of her mistreatment and lashes out against Lois and Peter, informing them of their own flaws. Meg tells Lois that she is far from the perfect parent, harshly berates her for constantly and ruthlessly pointing out Meg's shortcomings. This breaks Lois' heart and she finally admits that she's been a terrible mother to Meg. She then turns on Peter, calling him a "waste of a man". After a short fight between the rest of the family, Brian talks to meg and says that he likes how she stood up for herself, but she sadly tells him that even though she meant every word, seeing Peter turn on everyone like wolves has made her think that it is ultimately her non-ideal role to serve as the Griffins' "lightning rod that absorbs all the dysfunction". He commends her on her maturity, and even goes on to say that Meg is the strongest person in the family. She soon apologizes to the others and says that she is actually the one at fault, with the family reconciling and hugging afterwards.
Unlike her youngest brother Stewie, who considers the rest of the family's stupidity and shortcomings as little more than a nuisance and a hindrance to his chances at life and expresses desires to renounce or even dispose of them, Meg is far less willing to renounce, betray, or permanently abandon the other Griffins for their general disdain and indifference of her and generally stands by her family out of loyalty, often at the cost of significant opportunities and even a potentially better life.
The abuse that Meg receives begins to fade away as a running gag by the start of Season 14, notably in "Peter's Sister", where she notices that Peter's pro wrestler sister Karen treats Peter exactly the way Peter treats her. They bond over this with a plan to embarrass Karen at a wrestling show—which goes awry when Meg hits her with a metal folding chair instead of a breakaway one and injures Karen to the point where she ends up in a coma. In more recent seasons (From 20 onwards), she is rarely abused, if at all, with her family embracing her instead of ridiculing her.