Steward to a monk/monastery I am trying to recall the formal/traditional way of offering help to a monk for the longevity of their ordination.

Being a steward doesn't seem like it's the answer I'm looking for. 

I have both met a family that does this for a monk with travel, etc.. and remember reading something about it in 'Stillness Flowing'. 

Thanks!
I believe that you are looking for the term Pavarana.
Here is a description from The Bhikkhus' Rules: A guide for Laypeople:

Normally a bhikkhu will not ask for things. Instead, he will wait for
something to be offered. This is exemplified in the alms round where
the bhikkhu makes no request, does not even look at people, although
he may quietly wait to see if an offering is to be made before moving
on. One way that lay people enable a bhikkhu to ask them for help is
by making an invitation or pavarana.
The Buddha allowed a bhikkhu to accept pavarana or 'invitation.'
Such an invitation is made when lay people decide to commit themselves
to supplying medicines if a particular bhikkhu should ever become ill,
or it can be a broader offer of help. (Although a sick monk is allowed
to ask anyone for medicine, asking somebody who has already invited
him with a pavarana invitation is obviously preferable.) Therefore
if lay people meet a bhikkhu who seems worthy of help and support,
they may make such an invitation. Quite a number of the rules deal
with what and how much may be asked for when a donor makes this formal
invitation.
An invitation can therefore be quite specific about what is being
offered and how long that invitation will last. (Obviously, if
circumstances change or the request is unreasonable, the donor has no
obligations — and a conscientious bhikkhu is always sensitive about
this.)
A clear invitation will also help prevent misunderstandings. For
instance, the bhikkhu will know exactly what has been offered and so
will not ask for more than that; and the lay person will not be
overwhelmed by extravagant requests.
The original circumstances of the forty-seventh Confession Offence
were as follows:
A lay supporter possessed much 'medicinal ghee' so he invited the
monks to make use of it during the following four months. Much of the
medicine was still left, so he extended his invitation for another
four months and then extended it for life. The Buddha allowed this.
However, that same lay donor had once criticized the 'group-of-six'
monks because of their previous improper conduct so they decided to
take their revenge by asking him for an impossibly large amount of
medicine (ghee) and then criticized him when he could not immediately
produce what he had promised. This rule was set down:
&quot;A bhikkhu who is not ill may accept (make use of) a four- month
invitation [pavarana] to ask for requisites. If he should accept
(make use of) it for longer than that — unless the invitation is
renewed or is permanent — it is [an offence of Confession.]&quot; (Paac.
47; BMC p.393) When the invitation is more vague — for example, a lay
person may just say, &quot;If you need anything, Bhante, let me know&quot; — the
bhikkhu should not exceed the spirit of the invitation. In fact some
communities consider that an invitation in which the lay person does
not mention any time limit is valid only for four months and that
taking up the invitation beyond that time is an offence.
A bhikkhu is always allowed to ask for requisites from his relatives
without having formal invitation first. (Whether they actually supply
anything is, of course, up to them.) 'Relatives' are considered to be
those with whom the bhikkhu has common ancestors back through seven
generations, on both the mother's and father's side. Here 'in-laws'
are not counted as relatives.
&quot;Thus all descendants of one's great-great-great-great-great-
great-great-grandfather are counted as one's relatives... [although] a
bhikkhu at present would be well-advised to regard as his relatives
only those blood-relations with whom ties of kinship are actually
felt.&quot; (BMC p.183)