When I go with Pastor to visit the sick and shut-ins on a saturday, we do a Mass at each visit.
I use the Reserved Sacrament for that, which saves time and lets me spend more time talking to the sick person and comforting them. I just give them a previously intincted particle from the pyx and say “This is the body and blood of our Lord, God and Savior Jesus Christ,” and then get on with other things, like applying the oil of healing and talking to them.
Now, that said, I do have a workaround if I really do need to have two Holy Communion services in one day, and I actually did this on Christmas Eve, since in the US Christmas Day attendance is pretty low. The liturgical day ends with Vespers, and in traditional liturgics, such as Eastern Orthodox liturgy, vespers can happen in the morning, as
@GreekOrthodox will confirm, which is why the Paschal Divine Liturgy in some parishes can canonically start at midnight or even 8 PM on Holy Saturday, before Matins, Prime, and in the Russian tradition, Terce and Sext, despite there having been a Vesperal Divine Liturgy of St. Basil that morning.
So, all I have to do to celebrate two or more Eucharists is incorporate a vespers, which in Divine Services by Rev. Hunter, which is the basis for my service book, has four settings which are quite short but for me, the limit is two; I won’t do more than two vespers and two Eucharists during a 24 hour period. The Orthodox have something called a Typika service which is analogous to Anglican Ante-Communion which can be served when a vesperal liturgy has precluded the regular liturgy from being served, or there are variations including one the Antiochians have which is called the Deacon’s Typika, which is basically a presanctified liturgy which can be served by a deacon, and the more traditional Reader’s Typika, which is what you use if you lack a priest or bishop, and also it is the main service for the Priestless Old Believers.
I was doing two Eucharists every weekend before the current schedule was adopted by my colleagues in consultation with myself and others, and one of the main reasons why I alternate communion services between the two missions is I now have a time constraint on the earlier service, and the two missions are two hours apart and the drive to and from Las Vegas is also around two hours give or take, so fatigue is a factor. It would be impossible to serve the complete Divine Office if I did not substitute morning or evening prayer and a litany for the Eucharist at one of the two services. This also prepares the the congregation for the next week and will provide time for auricular confession, which I am introducing on Septuagesima after a few years of preparation.
But if there is a spiritual need for two services, I can do that, like on Christmas Eve and Easter, and if there is a need for communicating the sick, I use the reserved sacrament, and I strongly prefer using it as I believe it to be more ancient and traditional, and it affirms the reality of the physical presence of Christ in the Eucharist.
Fun fact: the 1928 Deposited Book which was approved by a majority of Anglican MPs to replace the 1662 BCP, but was defeated by a minority teaming up with members of other denominations (today, the C of E thankfully has autonomy over its liturgical affairs), included provisions whereby bishops could grant licenses for the reservation of the sacrament:
1928 Proposed Book of Common Prayer: Visitation & Communion of the Sick
I'm Senior Warden. My duties are pretty much relegated to making up the Vestry agenda as dictated by my priest, writing a monthly report for the Vestry, signing checks, solving problems when the Rector is on vacation or retreat, and taking calls from parishioners having their undies in a bunch over some trivial matter. I'm very obedient.
