If you want to follow convention or old-style etiquette rules, the father stands to the bride's right, and the mother would stand to the bride's left.
However, nowadays you can whatever you want--and if people ask explain that you had your own rationale for doing it your way to make it more special for you.
That may be the case is the USA? In England or Australia you will see from Royal Wedding photos that the father of the bride stands on her left and offers her his right arm to escort her up the aisle. When they arrive at the front he is not then standing between the bride and groom.
The wedding ceremony begins with a procession of the wedding party members. At the wedding site, both sets of parents escort the bride and groom down the aisle. The marriage ceremony is performed under a special canopy, called a huppah, which represents God's presence, shelter and protection.
Usually the bride. But I don't believe the rules are set in stone. Both the bride AND groom can do it. Bridal party can help too. The parents are paying for it. Isn't that help enough?
At Orthodox Jewish weddings, the groom is escorted by both fathers and the bride is escorted by both mothers. At modern Jewish weddings, the bride and groom are escorted by their parents.
Traditionally, the bride's parents have paid for the wedding, but this is much less adhered to nowadays. It is quite OK for both sets of parents to contribute if a mutual arrangement is reached, or for the bride and groom to foot or partially foot the bill.
If the parents are absent, anyone related to the bride or groom does it instead, usually an older sister/brother or uncle/aunt.
Most guests already know who the bride and grooms parents are and some weddings have a receiving line where guests congratulations the bride, groom and both sets of parents. If there is no receiving line then no, the bride and groom do not introduce their parents. The father's of either side may wish to make a toast to their new daughter-in-law or new son-in-law.
At Hasidic and Orthodox Jewish weddings, the groom is escorted by both fathers and the bride is escorted by both mothers. At other Jewish weddings, the bride and groom are escorted by their parents with the father on the left and the mother on the right.
It is up to the bride and groom and one evening get both sets of parents and go over the list of guests everyone wants to invite. If the grooms parents have more guests then let them know straight out they will have to pay for each over the limit guest's 'plate' (caterers at reception halls charge by the plate.) This is the only fair resolution and the groom's parents should agree to this as they are not paying the whole bill for the wedding; the bride's parents are.
Widowed mothers and fathers can escort their children alone.
I only know of Judaism doing this: 1. BOTH parents escort the groom 2. BOTH parents escort the bride 3. ALL brothers and sisters take part in the wedding party 4. Grandparents - even great-grandparents - can either stand onstage or sit onstage in chairs
Please identify who is the 'he' you are referring to. Traditionally the bride's father 'gives away' the bride. Sometimes if the bride's father is unavailable, another male family member/friend of the family will fulfill this role. A new trend is for both parents to 'give away' the bride.
Both