
A: You can have the invitations read any way you'd like -- who is paying for the wedding is nobody's business but yours. However, you should consider whether the groom's parents will feel slighted if your parents' names are the only ones on the invitation -- since it implies that your family is paying for the whole wedding and ignores your future in-laws' contribution.
If you don't want to risk offending them, you might consider a more modern take on invitation wording. One popular way to acknowledge that both sets of parents are contributing is to write: "Jane Smith and John Doe, together with their parents, request the pleasure of your company."
Or you could take yourselves out of the equation and list both sets of parents' names (for example, "Mr. and Mrs. James Smith and Mr. and Mrs. Andrew Brown request the pleasure..."). You can put your parents' names first to acknowledge their greater contribution.