The Goudlings appear to be one of the "four-and-twenty" families that Mrs. Bennet indignantly informs Darcy they dine with.
William Goulding is the only member of this family who ever gets a first name. He owns a curricule, so he must be an adult, but it's unclear whether he's the patriarch or a grown-up son.
In total, there must be five or six of them -- after Lydia has left, Mrs. Bennet plans a dinner for Bingley, saying “We must have Mrs. Long and the Gouldings soon. That will make thirteen with ourselves.” Based on the guest list, it’s likely that it’s a Goulding girl who serves coffee with Elizabeth and keeps the men (namely, Darcy) away.
The Gouldings, like the Bennets, live somewhere near Mertyon, Hertfordshire. Mrs. Bennet considers their house, Haye Park, for the Wickhams wondering if they could “quit it,” suggesting that they are renters and not hereditary landowners.