In what manner does Marie St. Clare greet her child, her husband, and Tom

She greets her husband and his cousin with politeness. 

St. Clare came in, embraced his wife in true, orthodox, husbandly fashion, and then presented to her his cousin. Marie lifted her large eyes on her cousin with an air of some curiosity, and received her with languid politeness. A crowd of servants now pressed to the entry door, and among them a middle-aged mulatto woman, of very respectable appearance, stood foremost, in a tremor of expectation and joy, at the door.

Marie greets her daughter with love and affection.

This woman did not tell her that she made her head ache, but, on the contrary, she hugged her, and laughed, and cried, till her sanity was a thing to be doubted of; and when released from her, Eva flew from one to another, shaking hands and kissing, in a way that Miss Ophelia afterwards declared fairly turned her stomach.

Marie greets Tom with apprehension and disbelief. She assumes he will not perform the job he's been bought for properly. 

Marie opened her eyes, and fixed them on Tom, without rising.

"I know he'll get drunk," she said.

"No, he's warranted a pious and sober article."

"Well, I hope he may turn out well," said the lady; "it's more than I expect, though."